Paul Larson

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All published works
Action Title Year Authors
+ Universally measurable sets may all be $\mathop{\Delta}\limits_\sim {}^{1}_{2}$ 2024 Paul Larson
Saharon Shelah
+ PDF Chat Maximal Tukey types, P-ideals and the weak Rudin–Keisler order 2023 Konstantinos A. Beros
Paul Larson
+ Suslin sets and uniformization 2023 Paul Larson
+ Infinity-Borel sets 2023 Paul Larson
+ Coding lemmas 2023 Paul Larson
+ Real determinacy from scales 2023 Paul Larson
+ PFA and the definability of the nonstationary ideal 2023 Stefan Hoffeler
Paul Larson
Ralf Schindler
Liuzhen Wu
+ PDF Chat Polar forcings and measured extensions 2022 Paul Larson
Jindřich Zapletal
+ Common hypercyclic vectors for unilateral weighted shifts on ℓ2 2021 Konstantinos Beros
Paul Larson
+ PDF Chat Choosing between incompatible ideals 2021 Will Brian
Paul Larson
+ Failures of square in Pmax extensions of Chang models 2021 Paul Larson
Grigor Sargsyan
+ Failures of square in Pmax extensions of Chang models 2021 Paul Larson
Grigor Sargsyan
+ A brief history of determinacy 2020 Paul Larson
+ Geometric Set Theory 2020 Paul Larson
Jindřich Zapletal
+ Simplicial complex forcings 2020 Paul Larson
Jindřich Zapletal
+ Universally measurable sets may all be Delta^1_2 2020 Paul Larson
Saharon Shelah
+ Universally measurable sets may all be Delta^1_2 2020 Paul Larson
Saharon Shelah
+ The rearrangement number 2019 Andreas Blass
Jörg Brendle
Will Brian
Joel David Hamkins
Michael Hardy
Paul Larson
+ Choosing between incompatible ideals. 2019 Will Brian
Paul Larson
+ Unilateral weighted shifts on $\ell^2$ 2019 Konstantinos A. Beros
Paul Larson
+ The number of models of a fixed Scott rank, for a counterexample to the analytic Vaught conjecture 2019 Paul Larson
Saharon Shelah
+ Choosing between incompatible ideals 2019 Will Brian
Paul Larson
+ Unilateral weighted shifts on $\ell^2$ 2019 Konstantinos A. Beros
Paul Larson
+ Maximal Tukey types, P-ideals and the weak Rudin-Keisler order 2019 Konstantinos A. Beros
Paul Larson
+ PDF Chat Discontinuous homomorphisms, selectors, and automorphisms of the complex field 2018 Paul Larson
Jindřich Zapletal
+ Discontinuous homomorphisms, selectors and automorphisms of the complex field. 2018 Paul Larson
Jindřich Zapletal
+ A model of $$\mathsf {ZFA}+ \mathsf {PAC}$$ with no outer model of $$\mathsf {ZFAC}$$ with the same pure part 2018 Paul Larson
Saharon Shelah
+ Levy-Steinitz for countable sets of series 2018 Paul Larson
+ Ultrafilter limits of asymptotic density are not universally measurable 2018 Joerg Brendle
Paul Larson
+ Discontinuous homomorphisms, selectors and automorphisms of the complex field 2018 Paul Larson
Jindřich Zapletal
+ PDF Chat Coding with canonical functions 2017 Paul Larson
Saharon Shelah
+ REAL GAMES AND STRATEGICALLY SELECTIVE COIDEALS 2017 Paul Larson
Dilip Raghavan
+ CANONICAL MODELS FOR FRAGMENTS OF THE AXIOM OF CHOICE 2017 Paul Larson
Jindřich Zapletal
+ PDF Chat Foundations of Mathematics 2017 Andrés Eduardo Caicedo
James Cummings
Peter Koellner
Paul Larson
+ PDF Chat Square principles in ℙmax extensions 2017 Andrés Eduardo Caicedo
Paul Larson
Grigor Sargsyan
Ralf Schindler
John R. Steel
Martin Zeman
+ An extendible model with a rigid elementary extension 2017 Paul Larson
Saharon Shelah
+ Foundations of mathematics : logic at Harvard, essays in honor of W. Hugh Woodin's 60th birthday, March 27-29, 2015, Harvard University, Cambridge, MA 2017 Andrés Eduardo Caicedo
James Cummings
Peter Koellner
Paul Larson
+ Closed sets which consistently have few translations covering the line 2016 Tomek Bartoszyński
Paul Larson
Saharon Shelah
+ The Rearrangement Number 2016 Andreas Blass
Jörg Brendle
Will Brian
Joel David Hamkins
Michael Hardy
Paul Larson
+ Ramsey ultrafilters and Countable-to-one Uniformization 2016 Richard Ketchersid
Paul Larson
Jindřich Zapletal
+ Consistency of a strong uniformization principle 2016 Paul Larson
Saharon Shelah
+ The Rearrangement Number 2016 Andreas Blass
Jörg Brendle
Will Brian
Joel David Hamkins
Michael Hardy
Paul Larson
+ Iterated elementary embeddings and the model theory of infinitary logic 2015 John T. Baldwin
Paul Larson
+ PDF Chat ALMOST GALOIS <i>ω</i>-STABLE CLASSES 2015 John T. Baldwin
Paul Larson
Saharon Shelah
+ Automorphisms of $\mathscr{P}(\lambda)/\mathscr{I}_\kappa$ 2015 Paul Larson
Paul McKenney
+ Automorphisms of $\mathcal P(\lambda )/\mathcal I_\kappa $ 2015 Paul Larson
Paul McKenney
+ Automorphisms of $\mathscr{P}(λ)/\mathscr{I}_κ$ 2015 Paul Larson
Paul McKenney
+ PDF Chat A choice function on countable sets, from determinacy 2014 Paul Larson
+ PDF Chat On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces 2014 Paul Larson
Franklin D. Tall
+ PDF Chat Universal functions 2014 Paul Larson
Arnold W. Miller
Juris Steprāns
William Weiss
+ Scott processes 2014 Paul Larson
+ PDF Chat Forcing axioms and the continuum hypothesis 2013 David Asperó
Paul Larson
Justin Tatch Moore
+ Universal Functions 2012 Paul Larson
Arnold W. Miller
Juris Steprāns
William Weiss
+ ℙ<sub>max</sub> variations for separating club guessing principles 2012 Tetsuya Ishiu
Paul Larson
+ Some results about (+) proved by iterated forcing 2012 Tetsuya Ishiu
Paul Larson
+ Majority decisions when abstention is possible 2012 Paul Larson
Nicholas Matteo
Saharon Shelah
+ A Brief History of Determinacy 2012 Paul Larson
+ Universal Functions 2012 Paul Larson
Arnold W. Miller
Juris Steprāns
William Weiss
+ On the hereditary paracompactness of locally compact, hereditarily normal spaces 2011 Paul Larson
Franklin D. Tall
+ PDF Chat Three Days of Ω-logic(&lt;Special Section&gt;Mathematical Logic and Its Applications) 2011 Paul Larson
+ The Filter Dichotomy and medial limits 2010 Paul Larson
+ Ultrafilter limits of asymptotic density are not universally measurable (Combinatorial set theory and forcing theory) 2010 Jörg Brendle
Paul Larson
+ Another c.c.c. forcing that destroys presaturation (Combinatorial set theory and forcing theory) 2010 Paul Larson
Teruyuki Yorioka
+ Regular embeddings of the stationary tower and Woodin's maximality theorem 2010 Richard Ketchersid
Paul Larson
Jindřich Zapletal
+ Universally measurable sets in generic extensions 2010 Paul Larson
Itay Neeman
Saharon Shelah
+ Splitting stationary sets from weak forms of Choice 2010 Paul Larson
Saharon Shelah
+ The Stationary Set Splitting Game 2010 Paul Larson
Saharon Shelah
+ PDF Chat Locally compact perfectly normal spaces may all be paracompact 2010 Paul Larson
Franklin D. Tall
+ PDF Chat Small-sum pairs in abelian groups 2010 Reza Akhtar
Paul Larson
+ PDF Chat Universally measurable sets in generic extensions 2010 Paul Larson
Itay Neeman
Saharon Shelah
+ Zermelo 1913 2010 Paul Larson
+ The Filter Dichotomy and medial limits 2010 Paul Larson
+ Forcing over Models of Determinacy 2009 Paul Larson
+ PDF Chat THE FILTER DICHOTOMY AND MEDIAL LIMITS 2009 Paul Larson
+ PDF Chat Splitting stationary sets from weak forms of Choice 2009 Paul Larson
Saharon Shelah
+ An introduction to Pmax forcing 2009 Paul Larson
+ Martin’s Maximum and definability in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>H</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi>ℵ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math> 2008 Paul Larson
+ ABSOLUTENESS FOR UNIVERSALLY BAIRE SETS AND THE UNCOUNTABLE II 2008 Ilijas Farah
Richard Ketchersid
Paul Larson
Menachem Magidor
+ PDF Chat The stationary set splitting game 2008 Paul Larson
Saharon Shelah
+ Bounding the consistency strength of a five element linear basis 2008 Bernhard König
Paul Larson
Justin Tatch Moore
Boban Veličković
+ Increasing δ<sub>2</sub><sup>1</sup> and Namba-style forcing 2007 Richard Ketchersid
Paul Larson
Jindřich Zapletal
+ The nonstationary ideal in the ℙ<sub><i>max</i></sub> extension 2007 Paul Larson
+ Increasing $\delta {2}^{1}$ and Namba-Style Forcing 2007 Richard Ketchersid
Paul Larson
Jindřich Zapletal
+ PDF Chat Guessing clubs in the generalized club filter 2007 Bernhard König
Paul Larson
Yasuo Yoshinobu
+ An Ω-logic Primer 2006 Joan Bagaria
Neus Castells
Paul Larson
+ Compact spaces, elementary submodels, and the countable chain condition 2006 Lúcia R. Junqueira
Paul Larson
Franklin D. Tall
+ Itay Neeman. Games of countable length. Sets and Proofs (Leeds, 1997), edited by S. Barry Cooper and John K. Truss, London Mathematical Society Lecture Note Series, vol. 258. Cambridge University Press, Cambridge, 1999, pp. 159-196. - Itay Neeman. <i>Unraveling</i> Π<sub>1</sub><sup>1</sup><i>sets</i>. Annals of Pure and Applied Logic, vol. 106, no. 1–3 (2000), pp. 151-205. - Itay Neeman. <i>Unraveling</i> Π<sub>1</sub><sup>1</sup><i>sets, revisited</i>. Israel Journal of Mathematics, to appear. 2005 Paul Larson
+ PDF Chat Almost-disjoint coding and strongly saturated ideals 2005 Paul Larson
+ Saturation, Suslin trees and meager sets 2004 Paul Larson
+ The canonical function game 2004 Paul Larson
+ PDF Chat BOUNDING BY CANONICAL FUNCTIONS, WITH CH 2003 Paul Larson
Saharon Shelah
+ A uniqueness theorem for iterations 2002 Paul Larson
+ PDF Chat Proper Forcings and Absoluteness in L(\Bbb R) 2002 Paul Larson
Itay Neeman
Jindřich Zapletal
+ REVIEWS-Two papers-Proper forcing and L (R) 2002 Itay Neeman
Jindřich Zapletal
Paul Larson
+ Katetov’s problem 2001 Paul Larson
Stevo Todorčević
+ PDF Chat Chain conditions in maximal models 2001 Paul Larson
Stevo Todorčević
+ Martin's Maximum and the Pmaxaxiom(∗) 2000 Paul Larson
+ Bounding by canonical functions, with CH 2000 Paul Larson
Saharon Shelah
+ The size of $\tilde{T}$ 2000 Paul Larson
+ Separating stationary reflection principles 2000 Paul Larson
+ The size of [mathematical formula] 2000 Paul Larson
+ An variation for one souslin tree 1999 Paul Larson
+ Showing OCA in Pmax-style extensions 1999 Paul Larson
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal 1999 W. Hugh Woodin
21
+ Proper and Improper Forcing 1998 Saharon Shelah
19
+ Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I 1988 M. Foreman
M. Magidor
Saharon Shelah
18
+ Universally Baire Sets of Reals 1992 Feng Qi
Menachem Magidor
Hugh Woodin
9
+ PDF Chat The higher infinite: large cardinals in set theory from their beginnings 1996 Akihiro Kanamori
9
+ PDF Chat A proof of projective determinacy 1989 Donald A. Martin
John R. Steel
8
+ The canonical function game 2004 Paul Larson
7
+ Some Applications of Almost Disjoint Sets 1970 Ronald Björn Jensen
R. M. Solovay
7
+ Combinatorial Cardinal Characteristics of the Continuum 2009 Andreas Blass
7
+ PDF Chat Topics in Set Theory 1991 Mohamed Bekkali
6
+ The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal 2010 W. Hugh Woodin
6
+ An variation for one souslin tree 1999 Paul Larson
6
+ Set Theory An Introduction to Independence Proofs 1980 Kenneth Kunen
6
+ Descriptive Set Theory 1980 Yiannis N. Moschovakis
6
+ PDF Chat Projective Stationary Sets and a Strong Reflection Principle 1998 Feng Qi
Thomas Jech
5
+ A Model of Set-Theory in Which Every Set of Reals is Lebesgue Measurable 1970 Robert M Solovay
5
+ Canonical models for ℵ1-combinatorics 1999 Saharon Shelah
Jindřich Zapletal
5
+ Forcing over Models of Determinacy 2009 Paul Larson
5
+ Precipitous ideals and Σ 1 4 setssets 1980 Menachem Magidor
5
+ Souslin partitions of products of finite sets 2003 Carlos Augusto Di Prisco
Stevo Todorčević
5
+ PDF Chat SET MAPPING REFLECTION 2005 Justin Tatch Moore
5
+ PDF Chat Chain conditions in maximal models 2001 Paul Larson
Stevo Todorčević
5
+ Large Cardinals from Determinacy 2009 Peter Koellner
W. Hugh Woodin
5
+ The derived model theorem 2009 John R. Steel
4
+ Forcing axioms and stationary sets 1992 Boban Veličković
4
+ An Outline of Inner Model Theory 2009 John R. Steel
4
+ PDF Chat Orthogonal Transition Kernels 1983 R. Daniel Mauldin
David Preiss
Heinrich von Weizsäcker
4
+ Descriptive Set Theory and Forcing 1995 Arnold W. Miller
4
+ A uniqueness theorem for iterations 2002 Paul Larson
4
+ Large cardinals imply that every reasonably definable set of reals is lebesgue measurable 1990 Saharon Shelah
Hugh Woodin
4
+ Chang's Conjecture and the Non-Stationary Ideal 2001 Daniel Evan Seabold
4
+ Invariant Descriptive Set Theory 2008 Su Gao
4
+ Structural Consequences of AD 2009 Steve Jackson
4
+ Projective Stationary Sets and Strong Reflection Principle 1994 Feng Qi
Thomas Jech
4
+ Some consistency results in ZFC using AD 2006 W. Hugh Woodin
4
+ PDF Chat THE FILTER DICHOTOMY AND MEDIAL LIMITS 2009 Paul Larson
4
+ Optimal Proofs of Determinacy 1995 Itay Neeman
3
+ Making the supercompactness of κ indestructible under κ-directed closed forcing 1978 Richard Laver
3
+ PDF Chat Supercompact cardinals, sets of reals, and weakly homogeneous trees 1988 W. Hugh Woodin
3
+ Saturated Ideals and Nonregular Ultrafilters 1982 Richard Laver
3
+ PDF Chat BOUNDING BY CANONICAL FUNCTIONS, WITH CH 2003 Paul Larson
Saharon Shelah
3
+ PDF Chat Partitioning pairs of countable ordinals 1987 Stevo Todorčević
3
+ PDF Chat The Levy-Steinitz rearrangement theorem for duals of metrizable spaces 2000 José Bonet
Andreas Defant
3
+ PDF Chat Two consequences of determinacy consistent with choice 1982 John R. Steel
Robert Van Wesep
3
+ Woodin cardinals and presaturated ideals 1992 Noa Goldring
3
+ Large cardinals and definable counterexamples to the continuum hypothesis 1995 Matthew Foreman
Menachem Magidor
3
+ On the length of Borel hierarchies 1979 Arnorld W. Miller
3
+ The Remarkable Theorem of Levy and Steinitz 1987 Peter Rosenthal
3
+ PDF Chat A choice function on countable sets, from determinacy 2014 Paul Larson
3
+ PDF Chat Small forcing creates neither strong nor Woodin cardinals 2000 Joel David Hamkins
W. Hugh Woodin
3