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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
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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
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None
2000
Gabriel Goldberg
Pavel Okunev
Michael Neumann
Hans Schneider
Common Coauthors
Coauthor
Papers Together
Tom Benhamou
3
Michael Neumann
2
Sebastiano Thei
2
Farmer Schlutzenberg
2
Joan Bagaria
1
Jonathan Osinski
1
Pavel Okunev
1
Alejandro Poveda
1
Hans Schneider
1
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