Victoria Gitman

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All published works

Action	Title	Year	Authors
+	PARAMETER-FREE SCHEMES IN SECOND-ORDER ARITHMETIC	2025	Victoria Gitman
+ PDF Chat	Model theoretic characterizations of large cardinals revisited	2024	Will Boney Stamatis Dimopoulos Victoria Gitman Menachem Magidor
+ PDF Chat	Upward L\"owenheim-Skolem-Tarski Numbers for Abstract Logics	2024	Victoria Gitman Jonathan Osinski
+	The virtual large cardinal hierarchy	2024	Stamatis Dimopoulos Victoria Gitman Dan Saattrup Nielsen
+ PDF Chat	ZFC without power set II: reflection strikes back	2024	Victoria Gitman Richard Matthews
+ PDF Chat	STRUCTURAL PROPERTIES OF THE STABLE CORE	2023	Sy‐David Friedman Victoria Gitman Sandra Müller
+	Between Ramsey and measurable cardinals	2023	Victoria Gitman Philipp Schlicht
+	Indestructibility properties of Ramsey and Ramsey-like cardinals	2022	Victoria Gitman Thomas A. Johnstone
+	Model Theoretic Characterizations of Large Cardinals Revisited	2022	Will Boney Stamatis Dimopoulos Victoria Gitman Menachem Magidor
+	ZFC without power set II: Reflection strikes back	2022	Victoria Gitman Richard Matthews
+	Forcing a □(κ)-like principle to hold at a weakly compact cardinal	2021	Brent Cody Victoria Gitman Chris Lambie‐Hanson
+ PDF Chat	Kelley–Morse set theory does not prove the class Fodor principle	2021	Victoria Gitman Joel David Hamkins Asaf Karagila
+ PDF Chat	Boolean-valued class forcing	2021	Carolin Antos Sy‐David Friedman Victoria Gitman
+	The Virtual Large Cardinal Hierarchy	2021	Stamatis Dimopoulos Victoria Gitman Dan Saattrup Nielsen
+ PDF Chat	THE EXACT STRENGTH OF THE CLASS FORCING THEOREM	2020	Victoria Gitman Joel David Hamkins Peter Holy Philipp Schlicht Kameryn J. Williams
+ PDF Chat	A Mitchell-like order for Ramsey and Ramsey-like cardinals	2019	Erin Kathryn Carmody Victoria Gitman Miha E. Habič
+	A $\square(\kappa)$-like principle consistent with weak compactness	2019	Brent Cody Victoria Gitman Chris Lambie‐Hanson
+	Forcing a $\square(\kappa)$-like principle to hold at a weakly compact cardinal	2019	Brent Cody Victoria Gitman Chris Lambie‐Hanson
+	Structural Properties of the Stable Core	2019	Sy‐David Friedman Victoria Gitman Sandra Müller
+	Forcing a $\square(κ)$-like principle to hold at a weakly compact cardinal	2019	Brent Cody Victoria Gitman Chris Lambie‐Hanson
+ 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
+	Virtual large cardinals	2018	Victoria Gitman Ralf Schindler
+ PDF Chat	Ehrenfeucht’s Lemma in Set Theory	2018	Günter Fuchs Victoria Gitman Joel David Hamkins
+	A model of second-order arithmetic satisfying AC but not DC	2018	Sy‐David Friedman Victoria Gitman Vladimir Kanovei
+	A model of the generic Vop\v{e}nka principle in which the ordinals are not Mahlo	2017	Victoria Gitman Joel David Hamkins
+	Incomparable ω<sub>1</sub>‐like models of set theory	2017	Günter Fuchs Victoria Gitman Joel David Hamkins
+ PDF Chat	Open determinacy for class games	2017	Victoria Gitman Joel David Hamkins
+	A model of the generic Vopěnka principle in which the ordinals are not Mahlo	2017	Victoria Gitman Joel David Hamkins
+	Generic Vopěnka’s Principle, remarkable cardinals, and the weak Proper Forcing Axiom	2016	Joan Bagaria Victoria Gitman Ralf Schindler
+ PDF Chat	What is the theory without power set?	2016	Victoria Gitman Joel David Hamkins Thomas A. Johnstone
+ PDF Chat	Indestructibility properties of remarkable cardinals	2015	Yong Cheng Victoria Gitman
+ PDF Chat	Easton's theorem for Ramsey and strongly Ramsey cardinals	2015	Brent Cody Victoria Gitman
+	Incomparable $\omega_1$-like models of set theory	2015	Günter Fuchs Victoria Gitman Joel David Hamkins
+	Open determinacy for class games	2015	Victoria Gitman Joel David Hamkins
+	Incomparable $ω_1$-like models of set theory	2015	Günter Fuchs Victoria Gitman Joel David Hamkins
+ PDF Chat	Indestructibility properties of remarkable cardinals	2014	Yong Cheng Victoria Gitman
+	EASTON'S THEOREM FOR RAMSEY AND STRONGLY	2014	Ramsey Cardinals Brent Cody Victoria Gitman
+	Indestructibility properties of remarkable cardinals	2014	Yong Cheng Victoria Gitman
+	On ground model definability	2013	Victoria Gitman Thomas A. Johnstone
+	On ground model definability	2013	Victoria Gitman Thomas A. Johnstone
+	Easton's Theorem for Ramsey and Strongly Ramsey cardinals	2012	Brent Cody Victoria Gitman
+	Easton's Theorem for Ramsey and Strongly Ramsey cardinals	2012	Brent Cody Victoria Gitman
+ PDF Chat	Inner models with large cardinal features usually obtained by forcing	2011	Arthur W. Apter Victoria Gitman Joel David Hamkins
+	Inner models with large cardinal features usually obtained by forcing	2011	Arthur W. Apter Victoria Gitman Joel David Hamkins
+	What is the theory ZFC without power set	2011	Victoria Gitman Joel David Hamkins Thomas A. Johnstone
+	Ramsey-like cardinals	2011	Victoria Gitman
+ PDF Chat	Ramsey-like cardinals II	2011	Victoria Gitman Philip Welch
+	A natural model of the multiverse axioms	2011	Victoria Gitman Joel David Hamkins
+	Ramsey-like cardinals II	2011	Victoria Gitman Philip Welch
+	A natural model of the multiverse axioms	2011	Victoria Gitman Joel David Hamkins
+	What is the theory ZFC without power set?	2011	Victoria Gitman Joel David Hamkins Thomas A. Johnstone
+	Inner models with large cardinal features usually obtained by forcing	2011	Arthur W. Apter Victoria Gitman Joel David Hamkins
+ PDF Chat	A Natural Model of the Multiverse Axioms	2010	Victoria Gitman Joel David Hamkins
+ PDF Chat	Proper and piecewise proper families of reals	2009	Victoria Gitman
+ PDF Chat	Scott's problem for Proper Scott sets	2008	Victoria Gitman
+	Ramsey-like embeddings	2008	Victoria Gitman
+	Ramsey-like cardinals	2008	Victoria Gitman
+	Scott's problem for proper Scott sets	2008	Victoria Gitman
+	Proper and piecewise proper families of reals	2008	Victoria Gitman
+	Ramsey-like cardinals	2008	Victoria Gitman
+	Applications of the proper forcing axiom to models of Peano arithmetic	2007	Victoria Gitman

Common Coauthors

Coauthor	Papers Together
Joel David Hamkins	19
Brent Cody	8
Sy‐David Friedman	6
Thomas A. Johnstone	6
Stamatis Dimopoulos	4
Chris Lambie‐Hanson	4
Arthur W. Apter	3
Günter Fuchs	3
Vladimir Kanovei	3
Richard Matthews	2
Philipp Schlicht	2
Sandra Müller	2
Ralf Schindler	2
Yong Cheng	2
Dan Saattrup Nielsen	2
Menachem Magidor	2
Philip Welch	2
Will Boney	2
Erin Kathryn Carmody	1
Yong Cheng	1
Carolin Antos	1
Kameryn J. Williams	1
Miha E. Habič	1
Asaf Karagila	1
Peter Holy	1
Joan Bagaria	1
Jonathan Osinski	1
Ramsey Cardinals	1
Günter Fuchs	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Ramsey-like cardinals II	2011	Victoria Gitman Philip Welch	14
+ PDF Chat	Ramsey cardinals and constructibility	1979	William Mitchell	11
+	Some applications of iterated ultrapowers in set theory	1970	Kenneth Kunen	11
+	Ramsey-like cardinals	2011	Victoria Gitman	9
+	Proper Forcing and Remarkable Cardinals	2000	Ralf‐Dieter Schindler	7
+	Measurable cardinals and the continuum hypothesis	1967	Amit Levy R. M. Solovay	7
+	Iterated Forcing and Elementary Embeddings	2009	James Cummings	7
+	Characterizations of pretameness and the Ord-cc	2018	Peter Holy Regula Krapf Philipp Schlicht	6
+ PDF Chat	What is the theory without power set?	2016	Victoria Gitman Joel David Hamkins Thomas A. Johnstone	6
+	Applications of the Proper Forcing Axiom	1984	James E. Baumgartner	5
+	Applications of the proper forcing axiom to models of Peano arithmetic	2007	Victoria Gitman	5
+	A hierarchy of ramsey cardinals	1990	Feng Qi	5
+	Countable models of set theories	1973	Harvey Friedman	5
+	On the role of supercompact and extendible cardinals in logic	1971	Menachem Magidor	5
+	Certain very large cardinals are not created in small forcing extensions	2007	Richard Laver	5
+	Indestructible Strong Unfoldability	2010	Joel David Hamkins Thomas A. Johnstone	5
+ PDF Chat	Chains of end elementary extensions of models of set theory	1998	Andrés Villaveces	4
+	Virtual large cardinals	2018	Victoria Gitman Ralf Schindler	4
+	Powers of regular cardinals	1970	William B. Easton	4
+	The core model	1982	A. Dodd Ronald Björn Jensen	4
+	Making the supercompactness of κ indestructible under κ-directed closed forcing	1978	Richard Laver	4
+ PDF Chat	CLASS FORCING, THE FORCING THEOREM AND BOOLEAN COMPLETIONS	2016	Peter Holy Regula Krapf Philipp Lücke Ana Njegomir Philipp Schlicht	4
+	Models of Peano Arithmetic	1991	Richard Kaye	3
+	Proper and Improper Forcing	1998	Saharon Shelah	3
+ PDF Chat	Extensions with the approximation and cover properties have no new large cardinals	2003	Joel David Hamkins	3
+	C (n)-cardinals	2011	Joan Bagaria	3
+	Some remarks concerning our paper „On the structure of set-mappings” —Non-existence of a two-valued σ-measure for the first uncountable inaccessible cardinal	1962	Péter L. Erdős A. Hajnal	3
+	A class of strong diamond principles	2002	Joel David Hamkins	3
+	Some results on large cardinals and the continuum function	2012	Brent Cody	3
+ PDF Chat	A model of second-order arithmetic satisfying AC but not DC	2018	Sy‐David Friedman Victoria Gitman Vladimir Kanovei	3
+	Generic Vopěnka’s Principle, remarkable cardinals, and the weak Proper Forcing Axiom	2016	Joan Bagaria Victoria Gitman Ralf Schindler	3
+	On some questions concerning strong compactness	2012	Arthur W. Apter	3
+	On measurable cardinals violating the continuum hypothesis	1993	Moti Gitik	3
+	The Structure of Models of Peano Arithmetic	2006	Roman Kossak James H. Schmerl	3
+	Filters and large cardinals	1995	Jean-Pierre Levinski	3
+	Forcing axioms and stationary sets	1992	Boban Veličković	3
+	Elementary embeddings and infinitary combinatorics	1971	Kenneth Kunen	3
+	Large cardinals need not be large in HOD	2015	Yong Cheng Sy‐David Friedman Joel David Hamkins	3
+	Models and types of Peano's arithmetic	1976	Haim Gaifman	3
+	Expansions, omitting types, and standard systems	2004	Fredrik Engström	3
+	The ground axiom	2007	Jonas Reitz	3
+ PDF Chat	The consistency strength of the tree property at the double successor of a measurable cardina	2010	Natasha Dobrinen Sy‐David Friedman	2
+	Classes and truths in set theory	2012	Kentaro Fujimoto	2
+ PDF Chat	The higher infinite: large cardinals in set theory from their beginnings	1996	Akihiro Kanamori	2
+ PDF Chat	Easton's theorem for Ramsey and strongly Ramsey cardinals	2015	Brent Cody Victoria Gitman	2
+	Easton’s theorem and large cardinals	2008	Sy‐David Friedman Radek Honzík	2
+	Proper forcing and remarkable cardinals II	2001	Ralf‐Dieter Schindler	2
+	Lectures on Nonstandard Models of Arithmetic	1984	C. Smoryński	2
+	Woodin's axiom (*), bounded forcing axioms, and precipitous ideals on <i>ω</i><sub>1</sub>	2012	Benjamin Claverie Ralf Schindler	2
+	Internal consistency and global co-stationarity of the ground model	2008	Natasha Dobrinen Sy‐David Friedman	2