Vladimir Kanovei

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Action Title Year Authors
+ Независимость схемы свертки в арифметике второго порядка от счетного выбора без параметров 2025 Vladimir Kanovei
Vassily Lyubetsky
+ On the Uniform Projection Problem in Descriptive Set Theory 2024 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat On the significance of parameters and the projective level in the Choice and Comprehension axioms 2024 Vladimir Kanovei
Vassily Lyubetsky
+ Parameterfree Comprehension Does Not Imply Full Comprehension in Second Order Peano Arithmetic 2024 Vladimir Kanovei
Vassily Lyubetsky
+ A good lightface <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>Δ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:math> well-ordering of the reals does not imply the existence of boldface <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1158.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo … 2024 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Jensen &#x0D; Δn1 Reals by Means of ZFC and Second-Order Peano Arithmetic 2024 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A Model in Which Well-Orderings of the Reals First Appear at a Given Projective Level, Part III—The Case of Second-Order PA 2023 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A Model in Which Well-Orderings of the Reals First Appear at a Given Projective Level, Part II 2023 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Historical Infinitesimalists and modern historiography of infinitesimals 2023 Mikhail G. Katz
Jacques Bair
Alexandre Borovik
Vladimir Kanovei
S. S. Kutateladze
Sam Sanders
David D. Sherry
Monica Ugaglia
+ PDF Chat On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic 2023 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Is Pluralism in the History of Mathematics Possible? 2023 Jacques Bair
Alexandre Borovik
Vladimir Kanovei
Mikhail G. Katz
S. S. Kutateladze
Sam Sanders
David D. Sherry
Monica Ugaglia
Mark van Atten
+ Jensen $\varDelta^1_3$ reals by means of ZFC$^-$ or second order Peano arithmetic 2023 Vladimir Kanovei
+ On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic 2022 Vladimir Kanovei
Vassily Lyubetsky
+ On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic 2022 Vladimir Kanovei
Vassily Lyubetsky
+ On the ‘definability of definable’ problem of Alfred Tarski, Part II 2022 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat On Russell typicality in set theory 2022 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A Model in Which Well-Orderings of the Reals Appear at a Given Projective Level 2022 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A Model in Which the Separation Principle Holds for a Given Effective Projective Sigma-Class 2022 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A Generic Model in Which the Russell-Nontypical Sets Satisfy ZFC Strictly between HOD and the Universe 2022 Vladimir Kanovei
Vassily Lyubetsky
+ The parameterfree Comprehension does not imply the full Comprehension in the 2nd order Peano arithmetic 2022 Vladimir Kanovei
Vassily Lyubetsky
+ Historical infinitesimalists and modern historiography of infinitesimals 2022 Jacques Bair
Alexandre Borovik
Vladimir Kanovei
Mikhail G. Katz
S. S. Kutateladze
Sam Sanders
David D. Sherry
Monica Ugaglia
+ A product forcing model in which the Russell-nontypical sets satisfy ZFC strictly between HOD and the universe 2021 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat On Russell typicality in Set Theory 2021 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat On Effectively Indiscernible Projective Sets and the Leibniz-Mycielski Axiom 2021 Ali Enayat
Vladimir Kanovei
Vassily Lyubetsky
+ A product forcing model in which the Russell-nontypical sets satisfy ZFC strictly between HOD and the universe 2021 Vladimir Kanovei
Vassily Lyubetsky
+ On Russell typicality in Set Theory 2021 Vladimir Kanovei
Vassily Lyubetsky
+ Definable Hamel bases and ${\sf AC}_\omega ({\mathbb R})$ 2020 Vladimir Kanovei
Ralf Schindler
+ PDF Chat On the ‘Definability of Definable’ Problem of Alfred Tarski 2020 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat The full basis theorem does not imply analytic wellordering 2020 Vladimir Kanovei
Vassily Lyubetsky
+ Factoring Solovay-random extensions, with application to the reduction property 2020 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Models of set theory in which the separation theorem fails 2020 Vladimir Kanovei
Vassily Lyubetsky
+ An unpublished theorem of Solovay on OD partitions of reals into two non-OD parts, revisited 2020 Ali Enayat
Vladimir Kanovei
+ On the Equality Relation Modulo a Countable Set 2020 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat On the Δ n 1 Problem of Harvey Friedman 2020 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Continuity between Cauchy and Bolzano: issues of antecedents and priority 2020 Jacques Bair
Piotr Błaszczyk
Elías Fuentes Guillén
Peter Heinig
Vladimir Kanovei
Mikhail G. Katz
+ PDF Chat Models of Set Theory in which Nonconstructible Reals First Appear at a Given Projective Level 2020 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat 19th-century real analysis, forward and backward 2020 Mikhail G. Katz
Jacques Bair
Piotr Błaszczyk
Peter Heinig
Vladimir Kanovei
+ An unpublished theorem of Solovay, revisited 2020 Ali Enayat
Vladimir Kanovei
+ PDF Chat Cauchy's Work on Integral Geometry, Centers of Curvature, and Other Applications of Infinitesimals 2020 Bair
Błaszczyk
Heinig
Vladimir Kanovei
Katz
McGaffey
+ Об отношении равенства с точностью до счетного множества 2020 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
+ PDF Chat Metric completions, the Heine-Borel property, and approachability 2020 Vladimir Kanovei
Mikhail G. Katz
Tahl Nowik
+ An unpublished theorem of Solovay, revisited 2020 Ali Enayat
Vladimir Kanovei
+ PDF Chat Canonization of Smooth Equivalence Relations on Infinite-Dimensional E0-Large Products 2019 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Gregory’s Sixth Operation 2019 Tiziana Bascelli
Piotr Błaszczyk
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Tahl Nowik
David Schaps
David D. Sherry
+ Absoluteness of the Solovay Set Σ 2019 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Gregory’s Sixth Operation 2019 Tiziana Bascelli
Piotr Błaszczyk
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Tahl Nowik
David Schaps
David D. Sherry
+ Definable selector for $\bf\Delta^0_2$ sets modulo countable 2019 Vladimir Kanovei
+ On mathematical realism and applicability of hyperreals 2019 Emanuele Bottazzi
Vladimir Kanovei
Mikhail G. Katz
Thomas Mormann
David Sherry
+ Models of set theory in which separation theorem fails 2019 Vladimir Kanovei
Vassily Lyubetsky
+ Definable Elements of Definable Borel Sets 2019 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat DEFINABLE MINIMAL COLLAPSE FUNCTIONS AT ARBITRARY PROJECTIVE LEVELS 2019 Vladimir Kanovei
Vassily Lyubetsky
+ Definable Hamel bases and $AC_\omega(R)$ 2019 Vladimir Kanovei
Ralf Schindler
+ PDF Chat Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy 2019 Vladimir Kanovei
Vassily Lyubetsky
+ Indiscernible pairs of countable sets of reals at a given projective level 2019 Vladimir Kanovei
Vassily Lyubetsky
+ Models of set theory in which separation theorem fails 2019 Vladimir Kanovei
Vassily Lyubetsky
+ Definable selector for $\bfΔ^0_2$ sets modulo countable 2019 Vladimir Kanovei
+ Definable Hamel bases and $AC_ω(R)$ 2019 Vladimir Kanovei
Ralf Schindler
+ PDF Chat Borel OD sets of reals are OD-Borel in some simple models 2018 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A model of second-order arithmetic satisfying AC but not DC 2018 Sy‐David Friedman
Victoria Gitman
Vladimir Kanovei
+ A model of second-order arithmetic satisfying AC but not DC 2018 Sy‐David Friedman
Victoria Gitman
Vladimir Kanovei
+ Definable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="sans-serif">E</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math> classes at arbitrary projective levels 2018 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER 2018 Frederik Herzberg
Vladimir Kanovei
MIKHAIL KATZ
Vassily Lyubetsky
+ On Harrington's model in which Separation holds but Reduction fails at the 3rd projective level, and on some related models of Sami 2018 Vladimir Kanovei
Vassily Lyubetsky
+ On intermediate extensions of generic extensions by a random real 2018 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Monotone subsequence via ultrapower 2018 Piotr Błaszczyk
Vladimir Kanovei
Mikhail G. Katz
Tahl Nowik
+ What Makes a Theory of Infinitesimals Useful? A View by Klein and Fraenkel 2018 Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Thomas Mormann
+ A model of second-order arithmetic satisfying AC but not DC 2018 Sy‐David Friedman
Victoria Gitman
Vladimir Kanovei
+ PDF Chat Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy 2017 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A Generic Property of the Solovay Set Σ 2017 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A countable definable set containing no definable elements 2017 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Countable OD sets of reals belong to the ground model 2017 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Cauchy’s Infinitesimals, His Sum Theorem, and Foundational Paradigms 2017 Tiziana Bascelli
Piotr Błaszczyk
Alexandre Borovik
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Thomas McGaffey
David Schaps
David Sherry
+ A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory 2017 Vladimir Kanovei
Mikhail G. Katz
+ Cauchy, infinitesimals and ghosts of departed quantifiers 2017 Jacques Bair
Piotr Błaszczyk
R. Ely
Valérie Henry
Vladimir Kanovei
Kalman Katz
Mikhail G. Katz
Taras Kudryk
S. S. Kutateladze
Thomas McGaffey
+ PDF Chat A Groszek‐Laver pair of undistinguishable ‐classes 2017 Mohammad Golshani
Vladimir Kanovei
Vassily Lyubetsky
+ Borel irreducibility between two large families of Borel equivalence relations 2017 Vladimir Kanovei
Michael Reeken
+ PDF Chat On “star” schemata of Kossak and Paris 2017 Vladimir Kanovei
+ The full basis theorem does not imply analytic wellordering 2017 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes 2017 Vladimir Kanovei
Vassily Lyubetsky
+ Approaches to analysis with infinitesimals following Robinson, Nelson, and others 2017 Peter Fletcher
Karel Hrbáček
Vladimir Kanovei
Mikhail G. Katz
Claude Lobry
Sam Sanders
+ Определимое счетное множество, не содержащее определимых элементов 2017 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
+ The full basis theorem does not imply analytic wellordering 2017 Vladimir Kanovei
Vassily Lyubetsky
+ A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory 2017 Vladimir Kanovei
Mikhail G. Katz
+ PDF Chat Gregory’s Sixth Operation 2016 Tiziana Bascelli
Piotr Błaszczyk
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Tahl Nowik
David Schaps
David Sherry
+ PDF Chat Toward a History of Mathematics Focused on Procedures 2016 Piotr Błaszczyk
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
David Sherry
+ PDF Chat Interpreting the Infinitesimal Mathematics of Leibniz and Euler 2016 Jacques Bair
Piotr Błaszczyk
R. Ely
Valérie Henry
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Thomas McGaffey
Patrick Reeder
+ PDF Chat In Cohen generic extension, every countable OD set of reals belongs to the ground model 2016 Vladimir Kanovei
+ PDF Chat A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos 2016 Piotr Błaszczyk
Alexandre Borovik
Vladimir Kanovei
Mikhail G. Katz
Taras Kudryk
S. S. Kutateladze
David Sherry
+ PDF Chat Is Leibnizian Calculus Embeddable in First Order Logic? 2016 Piotr Błaszczyk
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Taras Kudryk
Thomas Mormann
David Sherry
+ PDF Chat Small oscillations of the pendulum, Euler’s method, and adequality 2016 Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Tahl Nowik
+ PDF Chat OD elements of countable OD sets in the Solovay model 2016 Vladimir Kanovei
+ PDF Chat Leibniz versus Ishiguro: Closing a Quarter Century of Syncategoremania 2016 Tiziana Bascelli
Piotr Błaszczyk
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
David Schaps
David Sherry
+ A Groszek-Laver pair of undistinguishable $E_0$ classes 2016 Mohammad Golshani
Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat On countable cofinality and decomposition of definable thin orderings 2016 Vladimir Kanovei
Vassily Lyubetsky
+ A Groszek-Laver pair of undistinguishable $E_0$ classes 2016 Mohammad Golshani
Vladimir Kanovei
Vassily Lyubetsky
+ Counterexamples to countable-section <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>Π</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:math> uniformization and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>Π</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><… 2015 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Controversies in the Foundations of Analysis: Comments on Schubring’s Conflicts 2015 Piotr Błaszczyk
Vladimir Kanovei
Mikhail G. Katz
David Sherry
+ PDF Chat Euler’s Lute and Edwards’s Oud 2015 Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
David Sherry
+ PDF Chat Generalization of one construction by Solovay 2015 Vladimir Kanovei
Vassily Lyubetsky
+ On effective σ-boundedness and σ-compactness in Solovay’s model 2015 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A definable E 0 class containing no definable elements 2015 Vladimir Kanovei
Vassily Lyubetsky
+ A generalization of Solovay's -construction ∗ 2015 Vladimir Kanovei
+ PDF Chat Об эффективной $\sigma$-ограниченности и $\sigma$-компактности в модели Соловея 2015 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
+ Proofs and Retributions, Or: Why Sarah Can’t Take Limits 2014 Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Mary Schaps
+ Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow 2014 Tiziana Bascelli
Emanuele Bottazzi
Frederik Herzberg
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Tahl Nowik
David Sherry
Steven Shnider
+ PDF Chat Linearization of partial quasi-orderings in the Solovay model revisited. ∗ 2014 Vladimir Kanovei
Vassily Lyubetsky
+ Grossone approach to Hutton and Euler transforms 2014 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Bounding and decomposing thin analytic partial orderings 2014 Vladimir Kanovei
+ Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow 2014 Tiziana Bascelli
Emanuele Bottazzi
Frederik Herzberg
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Tahl Nowik
David Sherry
Steven Shnider
+ PDF Chat A generalization of Solovay's -construction with application to intermediate models ∗ 2014 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat A generalization of Solovay's $\Sigma$-construction 2014 Vladimir Kanovei
+ Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow 2014 Tiziana Bascelli
Emanuele Bottazzi
Frederik Herzberg
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Tahl Nowik
David D. Sherry
Steven Shnider
+ PDF Chat Canonical Ramsey Theory on Polish Spaces 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
+ Ramsey-type ideals 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
+ Games and the Silver property 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
+ Analytic equivalence relations and models of set theory 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
+ The countable support iteration ideals 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
+ Product-type ideals 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
+ Preface 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
+ Is mathematical history written by the victors 2013 Jacques Bair
Valérie Henry
Piotr Błaszczyk
R. Ely
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Thomas McGaffey
David Schaps
+ Is mathematical history written by the victors 2013 Jacques Bair
Piotr Błaszczyk
R. Ely
Valérie Henry
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Thomas McGaffey
David Schaps
+ PDF Chat On effective σ‐boundedness and σ‐compactness 2013 Vladimir Kanovei
Vassily Lyubetsky
+ On effective -boundedness and -compactness 2013 Vladimir Kanovei
+ Foundations of infinitesimal calculus: surreal numbers and nonstandard analysis 2013 Vladimir Kanovei
+ Is mathematical history written by the victors? 2013 Jacques Bair
Piotr Błaszczyk
R. Ely
Valérie Henry
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Thomas McGaffey
David Schaps
+ PDF Chat Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics 2012 Vladimir Kanovei
Mikhail G. Katz
Thomas Mormann
+ PDF Chat Effective compactness and sigma-compactness 2012 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Об эффективной компактности и сигма-компактности 2012 Vladimir Kanovei
Vladimir Kanovei
В.А. Любецкий
Vasilii Aleksandrovich Lyubetskii
+ An effective minimal encoding of uncountable sets 2011 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat An infinity which depends on the axiom of choice 2011 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat On coding uncountable sets by reals 2010 Joan Bagaria
Vladimir Kanovei
+ On automorphisms behind the Gitik -- Koepke model for violation of the Singular Cardinals Hypothesis w/o large cardinals 2010 Vladimir Kanovei
+ On Hausdorff ordered structures 2009 Vladimir Kanovei
+ PDF Chat A weak dichotomy below <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="sans-serif">E</mml:mi><mml:mi mathvariant="sans-serif">1</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="sans-serif">E</mml:mi><mml:mi mathvariant="sans-serif">3</mml:mi></mml:msub></mml:math> 2009 Vladimir Kanovei
+ Borel reducibility as an additive property of domains 2009 Vladimir Kanovei
Vassily Lyubetsky
+ PDF Chat Об упорядоченных структурах Хаусдорфа 2009 Vladimir Kanovei
Vladimir Kanovei
+ Lebesgue measure and gambling 2008 Vladimir Kanovei
Том Линтон
Vladimir Uspensky
+ PDF Chat Reasonable non-Radon–Nikodym ideals 2008 Vladimir Kanovei
Vassily Lyubetsky
+ Actions of the infinite symmetric group 2008 Vladimir Kanovei
+ Reduction of Borel equivalence relations to Borel ideals 2008 Vladimir Kanovei
+ Hyperfinite equivalence relations 2008 Vladimir Kanovei
+ On Cohen and Gandy–Harrington forcing over countable models 2008 Vladimir Kanovei
+ Borel reducibility of equivalence relations 2008 Vladimir Kanovei
+ PDF Chat More on countable equivalence relations 2008 Vladimir Kanovei
+ Introduction to countable equivalence relations 2008 Vladimir Kanovei
+ PDF Chat Borel ideals 2008 Vladimir Kanovei
+ Borel Equivalence Relations 2008 Vladimir Kanovei
+ Mengenlehre — Historische Einführung 2008 Vladimir Kanovei
Walter Purkert
+ Some natural equivalence relations in the Solovay model 2008 Sy‐David Friedman
Vladimir Kanovei
+ Reducibility of monadic equivalence relations 2007 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
Michael Reeken
+ Problems of set-theoretic non-standard analysis 2007 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
+ PDF Chat О сводимости монадических отношений эквивалентности 2007 Vladimir Kanovei
Vladimir Kanovei
В.А. Любецкий
Vasilii Aleksandrovich Lyubetskii
Michael Reeken
Michael Reeken
+ PDF Chat Проблемы теоретико-множественного нестандартного анализа 2007 Vladimir Kanovei
Vladimir Kanovei
В.А. Любецкий
Vasilii Aleksandrovich Lyubetskii
+ PDF Chat Mathematical Logic in Asia 2006 Vladimir Kanovei
Michael Reeken
+ PDF Chat EFFECTIVE CARDINALS IN THE NONSTANDARD UNIVERSE 2006 Vladimir Kanovei
Michael Reeken
+ Varia: Ideals and Equivalence Relations, beta-version 2006 Vladimir Kanovei
+ Varia. Ideals and Equivalence Relations 2006 Vladimir Kanovei
+ A confinal family of equivalence relations and Borel ideals generating them 2006 Vladimir Kanovei
Vassily Lyubetsky
+ Конфинальное семейство отношений эквивалентности и порождающих их борелевских идеалов 2006 Vladimir Kanovei
В.А. Любецкий
+ Perfect subsets of invariant CA-sets 2005 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
+ PDF Chat О совершенных подмножествах инвариантных CA-множеств 2005 Vladimir Kanovei
Vladimir Kanovei
В.А. Любецкий
Vasilii Aleksandrovich Lyubetskii
+ PDF Chat A definable nonstandard model of the reals 2004 Vladimir Kanovei
Saharon Shelah
+ Partially saturated universes and the Power Set problem 2004 Vladimir Kanovei
Michael Reeken
+ “Hyperfinite” descriptive set theory 2004 Vladimir Kanovei
Michael Reeken
+ Forcing extensions of the nonstandard universe 2004 Vladimir Kanovei
Michael Reeken
+ Other nonstandard theories 2004 Vladimir Kanovei
Michael Reeken
+ О множестве конструктивных вещественных чисел 2004 Vladimir Kanovei
В.А. Любецкий
+ Nonstandard Analysis, Axiomatically 2004 Vladimir Kanovei
Michael Reeken
+ Elementary real analysis in the nonstandard universe 2004 Vladimir Kanovei
Michael Reeken
+ A definable nonstandard model of the reals 2003 Vladimir Kanovei
Saharon Shelah
+ PDF Chat Borel and Countably Determined Reducibility in Nonstandard Domain 2003 Vladimir Kanovei
Michael Reeken
+ On some classical problems of descriptive set theory 2003 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
+ PDF Chat Some new results on Borel irreducibility of equivalence relations 2003 Vladimir Kanovei
Michael Reeken
+ A theorem on ROD‐hypersmooth equivalence relations in the Solovay model 2003 Vladimir Kanovei
Michael Reeken
+ Do stronger definitions of randomness exist? 2003 Bruno Durand
Vladimir Kanovei
Vladimir Uspensky
Nikolay Vereshchagin
+ PDF Chat Некоторые новые результаты о борелевской несводимости отношений эквивалентности 2003 Vladimir Kanovei
Vladimir Kanovei
Michael Reeken
Michael Reeken
+ PDF Chat О некоторых классических проблемах дескриптивной теории множеств 2003 Vladimir Kanovei
Vladimir Kanovei
В.А. Любецкий
Vasilii Aleksandrovich Lyubetskii
+ A definable nonstandard model of the reals 2003 Vladimir Kanovei
Saharon Shelah
+ Deskriptive Mengenlehre in Hausdorffs Grundzügen der Mengenlehre 2002 Vladimir Kanovei
Peter Koepke
+ PDF Chat A version of the Jensen-Johnsbråten coding at arbitrary level n ≥ 3 2001 Vladimir Kanovei
+ On Borel orderable groups 2001 Jens-Peter Christensen
Vladimir Kanovei
Michael Reeken
+ PDF Chat Нестандартная теория множеств в $\in$-языке 2001 Vladimir Kanovei
Vladimir Kanovei
+ None 2001 Vladimir Kanovei
+ New Radon–Nikodym ideals 2000 Vladimir Kanovei
Michael Reeken
+ A nonstandard set theory in the $\displaystyle\in$ -language 2000 Vladimir Kanovei
Michael Reeken
+ On Baire Measurable Homomorphisms of Quotients of the Additive Group of the Reals 2000 Vladimir Kanovei
Michael Reeken
+ Linearization of definable order relations 2000 Vladimir Kanovei
+ None 2000 Vladimir Kanovei
Michael Reeken
+ A nonstandard set theory in the [mathematical formula]-language 2000 Vladimir Kanovei
Michael Reeken
+ A nonstandard set theory in the ∈-language 2000 Vladimir Kanovei
Michael Reeken
+ Extension of standard models of ZFC to models of Nelson’s nonstandard set theory IST 1999 Vladimir Kanovei
Michael Reeken
+ On non-wellfounded iterations of the perfect set forcing 1999 Vladimir Kanovei
+ Special Model Axiom in Nonstandard Set Theory 1999 Vladimir Kanovei
Michael Reeken
+ PDF Chat Расширение стандартных моделей $\mathbf{ZFC}$ до моделей нестандартной теории множеств Нельсона $\mathbf{IST}$ 1999 Vladimir Kanovei
Vladimir Kanovei
Michael Reeken
Michael Reeken
+ PDF Chat Do most strong definitions of randomness exist? 1998 Bruno Durand
Vladimir Kanovei
Vladimir Uspensky
Nikolai Vereshagin
+ None 1998 Vladimir Kanovei
Michael Reeken
+ PDF Chat On “star” schemata of Kossak and Paris 1998 Vladimir Kanovei
+ PDF Chat When a partial Borel order is linearizable 1998 Vladimir Kanovei
+ PDF Chat Ulm Classification of Analytic Equivalence Relations in Generic Universes 1998 Vladimir Kanovei
+ PDF Chat An Ulm-type classification theorem for equivalence relations in Solovay model 1997 Vladimir Kanovei
+ Isomorphism property in nonstandard extensions of theZFC universe 1997 Vladimir Kanovei
Michael Reeken
+ Linearization of analytic order relations 1997 Vladimir Kanovei
+ When a partial Borel order is linearizable 1997 Vladimir Kanovei
+ MATHEMATICS IN A NONSTANDARD WORLD I 1997 Vladimir Kanovei
Michael Reeken
+ PDF Chat Non-Glimm–Effros equivalence relations at second projective level 1997 Vladimir Kanovei
+ What internal set theory knows about standard sets 1997 Vladimir Kanovei
Michael Reeken
+ On the complexity of finitely additive measures 1997 J.P.R. Christensen
Vladimir Kanovei
Sebastiaan A. Terwijn
Domenico Zambella
+ PDF Chat On a Spector Ultrapower for the Solovay Model 1997 Vladimir Kanovei
Michiel van Lambalgen
+ PDF Chat Two dichotomy theorems on colourability of non-analytic graphs 1997 Vladimir Kanovei
+ When a partial Borel order is linearizable 1997 Vladimir Kanovei
+ A nonstandard proof of the Jordan curve theorem 1996 Vladimir Kanovei
Michael Reeken
+ Topologies generated by effectively Suslin sets, and their applications in descriptive set theory 1996 Vladimir Kanovei
+ On external Scott algebras in nonstandard models of Peano arithmetic 1996 Vladimir Kanovei
+ Internal approach to external sets and universes 1996 Vladimir Kanovei
Michael Reeken
+ On a dichotomy related to colourings of definable graphs in generic models 1996 Vladimir Kanovei
+ Loeb Measure from the Point of View of a Coin Flipping Game 1996 Vladimir Kanovei
Michael Reeken
+ to External Sets and Universes Part 3 Partially saturated universes 1996 Vladimir Kanovei
Michael Reeken
+ PDF Chat Топологии, порожденные эффективно суслинскими множествами, и их приложения в дескриптивной теории множеств 1996 Vladimir Kanovei
Vladimir Kanovei
+ On the complexity of finitely additive measures 1996 P. R. Christensen
Vladimir Kanovei
Sebastiaan A. Terwijn
Domenico Zambella
+ A nonstandard proof of the Jordan curve theorem 1996 Vladimir Kanovei
Michael Reeken
+ On nonwellfounded iterated Sacks extensions, with application to the Glimm -- Effros property 1995 Vladimir Kanovei
+ PDF Chat On a Glimm -- Effros dichotomy and an Ulm--type classification in Solovay model 1995 Vladimir Kanovei
+ Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic 1995 Vladimir Kanovei
+ SUMMATION OF DIVERGENT SERIES FROM THE NONSTANDARD POINT OF VIEW 1995 Vladimir Kanovei
Reeken
+ Internal approach to external sets and universes 1995 Vladimir Kanovei
Michael Reeken
+ Part 2 External universes over the universe of bounded set theory 1995 Vladimir Kanovei
Michael Eeken
+ On nonwellfounded iterated Sacks extensions, with application to the Glimm -- Effros property 1995 Vladimir Kanovei
+ Internal approach to external sets and universes 1995 Vladimir Kanovei
Michael Reeken
+ IST is more than an algorithm to prove ZFC theorems 1993 Vladimir Kanovei
+ On the extension principle in internal set theory 1992 Vladimir Kanovei
+ Undecidable hypotheses in Edward Nelson's internal set theory 1991 Vladimir Kanovei
+ Cardinality of the set of Vitali equivalence classes 1991 Vladimir Kanovei
+ Kolmogorov's ideas in the theory of operations on sets 1988 Vladimir Kanovei
+ The correctness of Euler's method for the factorization of the sine function into an infinite product 1988 Vladimir Kanovei
+ PDF Chat The axiom of determinacy and the modern development of descriptive set theory 1988 Vladimir Kanovei
+ N. N. Luzin's problems on the existence of CA-sets without perfect subsets 1987 Vladimir Kanovei
+ The development of the descriptive theory of sets under the influence of the work of Luzin 1985 Vladimir Kanovei
+ UNDECIDABLE AND DECIDABLE PROPERTIES OF CONSTITUENTS 1985 Vladimir Kanovei
+ An answer to Luzin's question about the separability of Ca-curves 1983 Vladimir Kanovei
+ Generalization of P.S. Novikov's theorem on cross sections of Borel sets 1983 Vladimir Kanovei
+ Structure of constituents of ? 1 1 -sets 1983 Vladimir Kanovei
+ N. N. Luzin's problems on imbeddability and decomposability of projective sets 1982 Vladimir Kanovei
+ THE SET OF ALL ANALYTICALLY DEFINABLE SETS OF NATURAL NUMBERS CAN BE DEFINED ANALYTICALLY 1980 Vladimir Kanovei
+ A consequence of the Martin axiom 1979 Vladimir Kanovei
+ ON THE NONEMPTINESS OF CLASSES IN AXIOMATIC SET THEORY 1978 Vladimir Kanovei
+ On initial segments of degrees of constructibility 1975 Vladimir Kanovei
+ Singular cardinals 1973 Vladimir Kanovei
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ A Model of Set-Theory in Which Every Set of Reals is Lebesgue Measurable 1970 Robert M Solovay
72
+ PDF Chat Internal set theory: A new approach to nonstandard analysis 1977 Edward Nelson
36
+ PDF Chat A Glimm-Effros dichotomy for Borel equivalence relations 1990 Leo Harrington
Alexander S. Kechris
Alain Louveau
27
+ PDF Chat Axiomatic foundations for Nonstandard Analysis 1978 Karel Hrbáček
26
+ Borel Equivalence Relations 2008 Vladimir Kanovei
22
+ PDF Chat An Ulm-type classification theorem for equivalence relations in Solovay model 1997 Vladimir Kanovei
21
+ Surrealist landscape with figures (a survey of recent results in set theory) 1979 A. R. D. Mathias
20
+ Some Applications of Almost Disjoint Sets 1970 Ronald Björn Jensen
R. M. Solovay
20
+ On non-wellfounded iterations of the perfect set forcing 1999 Vladimir Kanovei
19
+ Descriptive Set Theory 1980 Yiannis N. Moschovakis
19
+ PDF Chat A Groszek‐Laver pair of undistinguishable ‐classes 2017 Mohammad Golshani
Vladimir Kanovei
Vassily Lyubetsky
18
+ Nonstandard Analysis by Axiomatic Method 1983 Toru Kawai
18
+ Counting the number of equivalence classes of Borel and coanalytic equivalence relations 1980 Jack H. Silver
18
+ PDF Chat Almost Equal: the Method of Adequality from Diophantus to Fermat and Beyond 2013 Mikhail G. Katz
David Schaps
Steven Shnider
18
+ Undecidable hypotheses in Edward Nelson's internal set theory 1991 Vladimir Kanovei
18
+ On Lusin's Restricted Continuum Problem 1984 Jacques Stern
17
+ Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow 2014 Tiziana Bascelli
Emanuele Bottazzi
Frederik Herzberg
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
Tahl Nowik
David Sherry
Steven Shnider
17
+ PDF Chat A definable E 0 class containing no definable elements 2015 Vladimir Kanovei
Vassily Lyubetsky
17
+ PDF Chat A model of second-order arithmetic satisfying AC but not DC 2018 Sy‐David Friedman
Victoria Gitman
Vladimir Kanovei
17
+ AN INVITATION TO NONSTANDARD ANALYSIS 1988 Ton Lindstrøm
17
+ Definable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="sans-serif">E</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math> classes at arbitrary projective levels 2018 Vladimir Kanovei
Vassily Lyubetsky
17
+ PDF Chat Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus 2011 Alexandre Borovik
Mikhail G. Katz
16
+ PDF Chat Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond 2012 Mikhail G. Katz
David Sherry
16
+ PDF Chat Interpreting the Infinitesimal Mathematics of Leibniz and Euler 2016 Jacques Bair
Piotr Błaszczyk
R. Ely
Valérie Henry
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Thomas McGaffey
Patrick Reeder
16
+ On some classical problems of descriptive set theory 2003 Vladimir Kanovei
Vasilii Aleksandrovich Lyubetskii
16
+ PDF Chat Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes 2017 Vladimir Kanovei
Vassily Lyubetsky
16
+ What Is Nonstandard Analysis? 1973 W. A. J. Luxemburg
15
+ Internal approach to external sets and universes 1995 Vladimir Kanovei
Michael Reeken
14
+ PDF Chat Non-Glimm–Effros equivalence relations at second projective level 1997 Vladimir Kanovei
14
+ Nonstandard set Theory 1979 Karel Hrbáček
14
+ PDF Chat A countable definable set containing no definable elements 2017 Vladimir Kanovei
Vassily Lyubetsky
14
+ Non-standard analysis 1966 Abraham Robinson
14
+ Is mathematical history written by the victors 2013 Jacques Bair
Valérie Henry
Piotr Błaszczyk
R. Ely
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
S. S. Kutateladze
Thomas McGaffey
David Schaps
14
+ PDF Chat Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics 2012 Vladimir Kanovei
Mikhail G. Katz
Thomas Mormann
14
+ PDF Chat Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy 2019 Vladimir Kanovei
Vassily Lyubetsky
13
+ PDF Chat Lectures in Set Theory with Particular Emphasis on the Method of Forcing 1971 Thomas Jech
13
+ Iterated perfect-set forcing 1979 James E. Baumgartner
Richard Laver
13
+ PDF Chat Canonical Ramsey Theory on Polish Spaces 2013 Vladimir Kanovei
Marcin Sabok
Jindřich Zapletal
13
+ Counterexamples to countable-section <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>Π</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:math> uniformization and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>Π</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><… 2015 Vladimir Kanovei
Vassily Lyubetsky
13
+ PDF Chat Commuting and Noncommuting Infinitesimals 2013 Mikhail G. Katz
Éric Leichtnam
13
+ MATHEMATICS IN A NONSTANDARD WORLD I 1997 Vladimir Kanovei
Michael Reeken
12
+ PDF Chat Leibniz versus Ishiguro: Closing a Quarter Century of Syncategoremania 2016 Tiziana Bascelli
Piotr Błaszczyk
Vladimir Kanovei
Karin U. Katz
Mikhail G. Katz
David Schaps
David Sherry
12
+ The Hyperreal Line 1994 H. Jerome Keisler
12
+ Differentials, higher-order differentials and the derivative in the Leibnizian calculus 1974 H Bos
12
+ Classification and Orbit Equivalence Relations 1999 Greg Hjorth
12
+ PDF Chat Infinitesimals, Imaginaries, Ideals, and Fictions 2012 David Sherry
Mikhail G. Katz
11
+ Descriptive set theory over hyperfinite sets 1989 H. Jerome Keisler
Kenneth Kunen
Arnold W. Miller
Steven Leth
11
+ Standard foundations for nonstandard analysis 1992 David Ballard
Karel Hrbáček
11
+ On the strength of nonstandard analysis 1986 C. Ward Henson
H. Jerome Keisler
11
+ PDF Chat Cauchy's Continuum 2011 Karin U. Katz
Mikhail G. Katz
11