Gabriel Goldberg

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All published works
Action Title Year Authors
+ PDF Chat THE UNIQUENESS OF ELEMENTARY EMBEDDINGS 2024 Gabriel Goldberg
+ PDF Chat Applications of the Magidor Iteration to Ultrafilter Theory 2024 Tom Benhamou
Gabriel Goldberg
+ PDF Chat On the optimality of the HOD dichotomy 2024 Gabriel Goldberg
Jonathan Osinski
Alejandro Poveda
+ PDF Chat No cardinal correct inner model elementarily embeds into the universe 2024 Gabriel Goldberg
Sebastiano Thei
+ No cardinal correct inner model elementarily embeds into the universe 2024 Gabriel Goldberg
Sebastiano Thei
+ PDF Chat THE GALVIN PROPERTY UNDER THE ULTRAPOWER AXIOM 2024 Tom Benhamou
Gabriel Goldberg
+ Reflecting measures 2024 Joan Bagaria
Gabriel Goldberg
+ Measurable cardinals and choiceless axioms 2023 Gabriel Goldberg
+ PDF Chat Strongly Compact Cardinals and Ordinal Definability 2023 Gabriel Goldberg
+ Periodicity in the cumulative hierarchy 2023 Gabriel Goldberg
Farmer Schlutzenberg
+ The Galvin property under the Ultrapower Axiom 2023 Tom Benhamou
Gabriel Goldberg
+ Strong compactness and the ultrapower axiom I: the least strongly compact cardinal 2022 Gabriel Goldberg
+ PDF Chat 2 The linearity of the Mitchell order 2022 Gabriel Goldberg
+ The Ultrapower Axiom 2022 Gabriel Goldberg
+ Choiceless cardinals and the continuum problem 2022 Gabriel Goldberg
+ Usuba's extendible cardinal 2021 Gabriel Goldberg
+ On products of ultrafilters 2021 Gabriel Goldberg
+ A note on Woodin's HOD dichotomy 2021 Gabriel Goldberg
+ A note on cardinal preserving embeddings 2021 Gabriel Goldberg
+ Reinhardt cardinals in inner models 2021 Gabriel Goldberg
+ Usuba's extendible cardinal 2021 Gabriel Goldberg
+ Measurable cardinals and choiceless axioms 2021 Gabriel Goldberg
+ The uniqueness of elementary embeddings 2021 Gabriel Goldberg
+ Strongly compact cardinals and ordinal definability 2021 Gabriel Goldberg
+ RANK-TO-RANK EMBEDDINGS AND STEEL’S CONJECTURE 2020 Gabriel Goldberg
+ The Ultrapower Axiom and the GCH 2020 Gabriel Goldberg
+ The Ultrapower Axiom 2020 Gabriel Goldberg
+ THE KETONEN ORDER 2020 Gabriel Goldberg
+ Structure theorems above a strongly compact cardinal 2020 Gabriel Goldberg
+ Even ordinals and the Kunen inconsistency 2020 Gabriel Goldberg
+ The Ultrapower Axiom 2020 Gabriel Goldberg
+ Some combinatorial properties of Ultimate L and V 2020 Gabriel Goldberg
+ Periodicity in the cumulative hierarchy 2020 Gabriel Goldberg
Farmer Schlutzenberg
+ The Ultrapower Axiom 2020 Gabriel Goldberg
+ Fr\'echet cardinals 2018 Gabriel Goldberg
+ PDF Chat The linearity of the Mitchell order 2018 Gabriel Goldberg
+ Compactness and Comparison 2018 Gabriel Goldberg
+ The Ultrapower Axiom and the equivalence between strong compactness and supercompactness 2018 Gabriel Goldberg
+ The Ultrapower Axiom implies GCH above a supercompact cardinal 2018 Gabriel Goldberg
+ The Rudin-Frolik order and the Ultrapower Axiom 2018 Gabriel Goldberg
+ The internal relation 2018 Gabriel Goldberg
+ Fréchet cardinals 2018 Gabriel Goldberg
+ The seed order 2018 Gabriel Goldberg
+ The Linearity of the Mitchell Order 2017 Gabriel Goldberg
+ The Seed Order 2017 Gabriel Goldberg
+ Strong Compactness and the Ultrapower Axiom 2017 Gabriel Goldberg
+ The Linearity of the Mitchell Order 2017 Gabriel Goldberg
+ The Seed Order 2017 Gabriel Goldberg
+ Distribution of Subdominant Eigenvalues of Matrices with Random Rows 2003 Gabriel Goldberg
Michael Neumann
+ None 2000 Gabriel Goldberg
Pavel Okunev
Michael Neumann
Hans Schneider
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Strong compactness and other cardinal sins 1972 Jussi Ketonen
14
+ PDF Chat IN SEARCH OF ULTIMATE-<i>L</i>THE 19TH MIDRASHA MATHEMATICAE LECTURES 2017 W. Hugh Woodin
9
+ Elementary embeddings and infinitary combinatorics 1971 Kenneth Kunen
9
+ The Ultrapower Axiom 2020 Gabriel Goldberg
8
+ Strong axioms of infinity and elementary embeddings 1978 Robert M Solovay
William N. Reinhardt
Akihiro Kanamori
7
+ PDF Chat The downward directed grounds hypothesis and very large cardinals 2017 Toshimichi Usuba
6
+ PDF Chat Equiconsistencies at subcompact cardinals 2015 Itay Neeman
John R. Steel
6
+ Measurable cardinals and the continuum hypothesis 1967 Amit Levy
R. M. Solovay
5
+ Combinatorial principles in the core model for one Woodin cardinal 1995 Ernest Schimmerling
5
+ The Linearity of the Mitchell Order 2017 Gabriel Goldberg
4
+ On descendingly complete ultrafilters 1973 Kenneth Kunen
Karel Prikry
4
+ internal relation 2008 4
+ On strong compactness and supercompactness 1975 Telis K. Menas
4
+ SUITABLE EXTENDER MODELS II: BEYOND ω-HUGE 2011 W. Hugh Woodin
3
+ Sets constructible from sequences of ultrafilters 1974 William J. Mitchell
3
+ The Seed Order 2017 Gabriel Goldberg
3
+ SUITABLE EXTENDER MODELS I 2010 W. Hugh Woodin
3
+ BERKELEY CARDINALS AND THE STRUCTURE OF L(Vδ+1) 2018 Raffaella Cutolo
3
+ Some applications of iterated ultrapowers in set theory 1970 Kenneth Kunen
3
+ The well-foundedness of the Mitchell order 1993 John R. Steel
3
+ PDF Chat Intermediate models of Magidor-Radin forcing-Part II 2022 Tom Benhamou
Moti Gitik
2
+ PDF Chat More on regular and decomposable ultrafilters in ZFC 2010 Paolo Lipparini
2
+ PDF Chat The Category of Cofinal Types. II 1965 J. R. Isbell
2
+ On the consistency of ZF with an elementary embedding from $V_{\lambda+2}$ into $V_{\lambda+2}$ 2020 Farmer Schlutzenberg
2
+ PDF Chat The linearity of the Mitchell order 2018 Gabriel Goldberg
2
+ PDF Chat Partial strong compactness and squares 2019 Yair Hayut
2
+ The Ultrapower Axiom 2020 Gabriel Goldberg
2
+ PDF Chat LARGE CARDINALS BEYOND CHOICE 2019 Joan Bagaria
Peter Koellner
W. Hugh Woodin
2
+ PDF Chat Cardinal preserving elementary embeddings 2010 Andrés Eduardo Caicedo
2
+ PDF Chat Forcing axioms and the Galvin number 2021 Shimon Garti
Yair Hayut
Haim Horowitz
Menachem Magidor
2
+ Even ordinals and the Kunen inconsistency 2020 Gabriel Goldberg
2
+ Galvin's property at large cardinals and an application to partition calculus 2022 Tom Benhamou
Shimon Garti
Alejandro Poveda
2
+ Ultrafilters over a measurable cardinal 1976 Aki Kanamori
2
+ The number of normal measures 2009 Sy-David Friedmanc
Menachem Magidor
2
+ PDF Chat Choiceless Löwenheim–Skolem Property and Uniform Definability of Grounds 2021 Toshimichi Usuba
2
+ Fine Structure and Iteration Trees 2017 William J. Mitchell
John R. Steel
2
+ PDF Chat HIGH DIMENSIONAL ELLENTUCK SPACES AND INITIAL CHAINS IN THE TUKEY STRUCTURE OF NON-P-POINTS 2016 Natasha Dobrinen
2
+ Boolean extensions and measurable cardinals 1971 Kenneth Kunen
J. B. Paris
2
+ A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, Part 2 2014 Natasha Dobrinen
Stevo Todorčević
2
+ An Outline of Inner Model Theory 2009 John R. Steel
2
+ Inner models in the region of a Woodin limit of Woodin cardinals 2002 Itay Neeman
2
+ How large is the first strongly compact cardinal? or a study on identity crises 1976 Menachem Magidor
2
+ Ultrafilters and Standard Functions in Non-Standard Arithmetic 1971 Christian Puritz
2
+ Functions of a complex variable 1970 David Tall
2
+ Indecomposable ultrafilters over small large cardinals 1983 Michael H. Sheard
2
+ Large cardinals need not be large in HOD 2015 Yong Cheng
Sy‐David Friedman
Joel David Hamkins
2
+ Generalizations of the Kunen inconsistency 2012 Joel David Hamkins
Greg Kirmayer
Norman Lewis Perlmutter
2
+ Tukey types of ultrafilters 2011 Natasha Dobrinen
Stevo Todorčević
2
+ Cofinal types of ultrafilters 2011 Dilip Raghavan
Stevo Todorčević
2
+ Kurepa trees and the failure of the Galvin property 2022 Tom Benhamou
Shimon Garti
Saharon Shelah
2