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+
PDF
Chat
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On ultrafilters in ZF models and indecomposable ultrafilters
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2024
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Eilon Bilinsky
Moti Gitik
|
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+
PDF
Chat
|
Around accumulation points and maximal sequences of indiscernibles
|
2024
|
Moti Gitik
|
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+
PDF
Chat
|
On fresh sets in iterations of Prikry type forcing notions
|
2024
|
Moti Gitik
Eyal Kaplan
|
|
+
PDF
Chat
|
Non-galvin filters
|
2024
|
Tom Benhamou
Shimon Garti
Moti Gitik
Alejandro Poveda
|
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+
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The first measurable can be the first inaccessible cardinal
|
2024
|
Moti Gitik
Yair Hayut
Asaf Karagila
|
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+
PDF
Chat
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On Easton support iteration of Prikry-type forcing notions
|
2023
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Moti Gitik
Eyal Kaplan
|
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+
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ON COHEN AND PRIKRY FORCING NOTIONS
|
2023
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Tom Benhamou
Moti Gitik
|
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+
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The variety of projections of a tree Prikry forcing
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2023
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Tom Benhamou
Moti Gitik
Yair Hayut
|
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+
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On Easton support iteration of Prikry type forcing notions
|
2023
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Moti Gitik
Eyal Kaplan
|
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+
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Extender-based Magidor-Radin forcings without top extenders
|
2023
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Moti Gitik
Sittinon Jirattikansakul
|
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+
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Intermediate models of Magidor-Radin forcing. I
|
2022
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Tom Benhamou
Moti Gitik
|
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+
PDF
Chat
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Non-stationary support iterations of Prikry forcings and restrictions of ultrapower embeddings to the ground model
|
2022
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Moti Gitik
Eyal Kaplan
|
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+
PDF
Chat
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ON RESTRICTIONS OF ULTRAFILTERS FROM GENERIC EXTENSIONS TO GROUND MODELS
|
2022
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Moti Gitik
Eyal Kaplan
|
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+
PDF
Chat
|
Intermediate models of Magidor-Radin forcing-Part II
|
2022
|
Tom Benhamou
Moti Gitik
|
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+
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On Cohen and Prikry Forcing Notions
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2022
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Tom Benhamou
Moti Gitik
|
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+
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Another method to add a closed unbounded set of former regulars
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2022
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Moti Gitik
Sittinon Jirattikansakul
|
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+
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Non-Galvin Filters
|
2022
|
Tom Benhamou
Shimon Garti
Moti Gitik
Alejandro Poveda
|
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+
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Reflection and not SCH with overlapping extenders
|
2021
|
Moti Gitik
|
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+
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The Variety of Projection of a Tree-Prikry Forcing
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2021
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Tom Benhamou
Moti Gitik
Yair Hayut
|
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+
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A weakly normal ultrafilter amenable to its ultrapower
|
2021
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Moti Gitik
|
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+
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Intermediate Models in Magidor-Radin Generic Extensions -- Part I
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2021
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Tom Benhamou
Moti Gitik
|
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+
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Another method for constructing models of not approachability and not SCH
|
2021
|
Moti Gitik
|
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+
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Non-stationary support iterations of Prikry Forcings and Restrictions of Ultrapower Embeddings to the Ground Model
|
2021
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Moti Gitik
Eyal Kaplan
|
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+
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The Variety of Projection of a Tree-Prikry Forcing
|
2021
|
Tom Benhamou
Moti Gitik
Yair Hayut
|
|
+
PDF
Chat
|
Sets in Prikry and Magidor generic extensions
|
2020
|
Tom Benhamou
Moti Gitik
|
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+
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More on uniform ultrafilters over a singular cardinal
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2020
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Moti Gitik
|
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+
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On κ-compact cardinals
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2020
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Moti Gitik
|
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+
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Silver type theorems for collapses
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2020
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Moti Gitik
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+
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Some constructions of ultrafilters over a measurable cardinal
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2020
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Moti Gitik
|
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+
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Short extenders forcings – doing without preparations
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2020
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Moti Gitik
|
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+
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Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis
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2020
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Moti Gitik
|
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+
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A uniform ultrafilter over a singular cardinal with a singular character
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2020
|
Moti Gitik
|
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+
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Intermediate Models in Magidor-Radin Forcing- Part I
|
2020
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Tom Benhamou
Moti Gitik
|
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+
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On the powersets of singular cardinals in HOD
|
2019
|
Omer Ben-Neria
Moti Gitik
Itay Neeman
Spencer Unger
|
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+
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BLOWING UP THE POWER OF A SINGULAR CARDINAL OF UNCOUNTABLE COFINALITY
|
2019
|
Moti Gitik
|
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+
PDF
Chat
|
Cardinal characteristics at $$\aleph_\omega$$
|
2019
|
Shimon Garti
Moti Gitik
Saharon Shelah
|
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+
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Non-homogeneity of quotients of Prikry forcings
|
2019
|
Moti Gitik
Eyal Kaplan
|
|
+
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A note on sequences witnessing singularity, following Magidor and Sinapova
|
2018
|
Moti Gitik
|
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+
PDF
Chat
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SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD
|
2018
|
Moti Gitik
Carmi Merimovich
|
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+
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Strange ultrafilters
|
2018
|
Moti Gitik
|
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+
PDF
Chat
|
Adding a lot of random reals by adding a few
|
2018
|
Moti Gitik
Mohammad Golshani
|
|
+
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Some consistency results on density numbers
|
2017
|
Moti Gitik
|
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+
PDF
Chat
|
PCF theory and Woodin cardinals
|
2017
|
Moti Gitik
Ralf Schindler
Saharon Shelah
|
|
+
|
Adding a lot of random reals by adding a few
|
2017
|
Moti Gitik
Mohammad Golshani
|
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+
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Adding a lot of random reals by adding a few
|
2017
|
Moti Gitik
Mohammad Golshani
|
|
+
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Some applications of Supercompact Extender Based Forcings to HOD
|
2016
|
Moti Gitik
Carmi Merimovich
|
|
+
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On density of old sets in Prikry type extensions
|
2016
|
Moti Gitik
|
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+
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SPFA by finite conditions
|
2016
|
Moti Gitik
Menachem Magidor
|
|
+
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Some applications of Supercompact Extender Based Forcings to HOD
|
2016
|
Moti Gitik
Carmi Merimovich
|
|
+
PDF
Chat
|
ON THE SPLITTING NUMBER AT REGULAR CARDINALS
|
2015
|
Omer Ben-Neria
Moti Gitik
|
|
+
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Adding a lot of Cohen reals by adding a few I
|
2015
|
Moti Gitik
Mohammad Golshani
|
|
+
PDF
Chat
|
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $${\theta}$$ θ -supercompact
|
2015
|
Brent Cody
Moti Gitik
Joel David Hamkins
Jason A. Schanker
|
|
+
PDF
Chat
|
Adding a lot of Cohen reals by adding a few. II
|
2015
|
Moti Gitik
Mohammad Golshani
|
|
+
|
Adding a lot of Cohen reals by adding a few II
|
2015
|
Moti Gitik
Mohammad Golshani
|
|
+
|
Adding a lot of Cohen reals by adding a few I
|
2015
|
Moti Gitik
Mohammad Golshani
|
|
+
|
On the Splitting Number at Regular Cardinals
|
2014
|
Omer Ben-Neria
Moti Gitik
|
|
+
|
Adding a lot of Cohen reals by adding a few. I
|
2014
|
Moti Gitik
Mohammad Golshani
|
|
+
PDF
Chat
|
On tall cardinals and some related generalizations
|
2014
|
Arthur W. Apter
Moti Gitik
|
|
+
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On the Splitting Number at Regular Cardinals
|
2014
|
Omer Ben-Neria
Moti Gitik
|
|
+
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Applications of pcf for mild large cardinals to elementary embeddings
|
2013
|
Moti Gitik
Saharon Shelah
|
|
+
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The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $\theta$-supercompact
|
2013
|
Brent Cody
Moti Gitik
Joel David Hamkins
Jason A. Schanker
|
|
+
|
Applications of pcf for mild large cardinals to elementary embeddings
|
2013
|
Moti Gitik
Saharon Shelah
|
|
+
|
Applications of pcf for mild large cardinals to elementary embeddings
|
2013
|
Moti Gitik
Saharon Shelah
|
|
+
|
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $θ$-supercompact
|
2013
|
Brent Cody
Moti Gitik
Joel David Hamkins
Jason A. Schanker
|
|
+
|
A MODEL WITH A PRECIPITOUS IDEAL, BUT NO NORMAL PRECIPITOUS IDEAL
|
2012
|
Moti Gitik
|
|
+
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Short extender forcing
|
2012
|
Moti Gitik
Spencer Unger
|
|
+
PDF
Chat
|
SHORT EXTENDERS FORCINGS I
|
2012
|
Moti Gitik
|
|
+
|
A model with a measurable which does not carry a normal measure
|
2012
|
Eilon Bilinsky
Moti Gitik
|
|
+
PDF
Chat
|
Violating the singular cardinals hypothesis without large cardinals
|
2012
|
Moti Gitik
Peter Koepke
|
|
+
|
Indestructible strong compactness but not supercompactness
|
2012
|
Arthur W. Apter
Moti Gitik
Grigor Sargsyan
|
|
+
PDF
Chat
|
The failure of diamond on a reflecting stationary set
|
2011
|
Moti Gitik
Assaf Rinot
|
|
+
|
Violating the Singular Cardinals Hypothesis Without Large Cardinals
|
2011
|
Moti Gitik
Peter Koepke
|
|
+
|
Violating the Singular Cardinals Hypothesis Without Large Cardinals
|
2011
|
Moti Gitik
Peter Koepke
|
|
+
|
On the strength of no normal precipitous filter
|
2010
|
Moti Gitik
Liad Tal
|
|
+
PDF
Chat
|
On changing cofinality of partially ordered sets
|
2010
|
Moti Gitik
|
|
+
PDF
Chat
|
On almost precipitous ideals
|
2010
|
Asaf Ferber
Moti Gitik
|
|
+
|
On normal precipitous ideals
|
2010
|
Moti Gitik
|
|
+
|
Prikry-Type Forcings
|
2009
|
Moti Gitik
|
|
+
PDF
Chat
|
Approachability at the second successor of a singular cardinal
|
2009
|
Moti Gitik
John Krueger
|
|
+
|
A SIMPLER SHORT EXTENDERS FORCING — GAP 3
|
2008
|
Moti Gitik
|
|
+
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On a question of Pereira
|
2008
|
Moti Gitik
|
|
+
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Some pathological examples of precipitous ideals
|
2008
|
Moti Gitik
|
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+
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On Partially Wellfounded Generic Ultrapowers
|
2008
|
Moti Gitik
Menachem Magidor
|
|
+
|
On SCH and the approachability property
|
2007
|
Moti Gitik
Assaf Sharon
|
|
+
|
A cardinal preserving extension making the set of points of countable V cofinality nonstationary
|
2007
|
Moti Gitik
Itay Neeman
Dima Sinapova
|
|
+
PDF
Chat
|
NO BOUND FOR THE FIRST FIXED POINT
|
2005
|
Moti Gitik
|
|
+
PDF
Chat
|
Power function on stationary classes
|
2005
|
Moti Gitik
Carmi Merimovich
|
|
+
|
Andou, Y., Church–Rosser property of a simple reduction for full first-order classical natural deduction (1–3) 225–237 Bridges, D. and Vıˆt-a, L., Apartness spaces as a framework for constructive topology (1–3) 61–83 Di Nasso, M. and Hrbacek, K., Combinatorial principles in
|
2003
|
Feng Qin
W. Hugh Woodin
Moti Gitik
|
|
+
|
REVIEWS-Moti Gitik's recent papers on the Singular Cardinals Problem
|
2003
|
Moti Gitik
Akihiro Kanamori
|
|
+
PDF
Chat
|
Pcf theory and Woodin cardinals
|
2002
|
Moti Gitik
Ralf Schindler
Saharon Shelah
|
|
+
|
On gaps under GCH type assumptions
|
2002
|
Moti Gitik
|
|
+
PDF
Chat
|
Blowing up power of a singular cardinal—wider gaps
|
2002
|
Moti Gitik
|
|
+
|
The power set function
|
2002
|
Moti Gitik
|
|
+
PDF
Chat
|
More on real-valued measurable cardinals and forcing with ideals
|
2001
|
Moti Gitik
Saharon Shelah
|
|
+
PDF
Chat
|
On some configurations related to the Shelah Weak Hypothesis
|
2001
|
Moti Gitik
Saharon Shelah
|
|
+
|
No bound for the first fixed point
|
2000
|
Moti Gitik
|
|
+
PDF
Chat
|
Cardinal preserving ideals
|
1999
|
Moti Gitik
Saharon Shelah
|
|
+
PDF
Chat
|
On closed unbounded sets consisting of former regulars
|
1999
|
Moti Gitik
|
|
+
|
Wide gaps with short extenders
|
1999
|
Moti Gitik
|
|
+
|
None
|
1999
|
Moti Gitik
Benedikt Löwe
|
|
+
|
On Some Configurations Related to the Shelah Weak Hypothesis
|
1999
|
Moti Gitik
Saharon Shelah
|
|
+
|
On Gaps under GCH Type Assumptions
|
1999
|
Moti Gitik
|
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+
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The least measurable can be strongly compact and indestructible
|
1998
|
Arthur W. Apter
Moti Gitik
|
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+
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On densities of box products
|
1998
|
Moti Gitik
Saharon Shelah
|
|
+
|
Some results on the nonstationary ideal II
|
1997
|
Moti Gitik
|
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+
|
Possible values for 2ℵn and 2ℵω
|
1997
|
Moti Gitik
Carmi Merimovich
|
|
+
PDF
Chat
|
Less saturated ideals
|
1997
|
Moti Gitik
Saharon Shelah
|
|
+
|
Possible values for 2K-and 2K
|
1997
|
Moti Gitik
Carmi Merimovich
|
|
+
PDF
Chat
|
Indiscernible sequences for extenders, and the singular cardinal hypothesis
|
1996
|
Moti Gitik
William J. Mitchell
|
|
+
|
Consistency strength of the axiom of full reflection at large cardinals
|
1996
|
Moti Gitik
Jiří Witzany
|
|
+
|
On hidden extenders
|
1996
|
Moti Gitik
|
|
+
PDF
Chat
|
Blowing up the power of a singular cardinal
|
1996
|
Moti Gitik
|
|
+
|
Cardinal preserving ideals
|
1996
|
Moti Gitik
Saharon Shelah
|
|
+
|
On densities of box products
|
1996
|
Moti Gitik
Saharon Shelah
|
|
+
|
Cardinal preserving ideals
|
1996
|
Moti Gitik
Saharon Shelah
|
|
+
|
Indiscernible Sequences for Extenders, and the Singular Cardinal Hypothesis
|
1995
|
Moti Gitik
William Mitchell
|
|
+
|
Adding a lot of Cohen reals by adding a few
|
1995
|
Moti Gitik
|
|
+
|
More on real-valued measurable cardinals and forcing with ideals
|
1995
|
Moti Gitik
Saharon Shelah
|
|
+
|
Less nonstationary ideals
|
1995
|
Moti Gitik
Saharon Shelah
|
|
+
|
Some results on the nonstationary ideal
|
1995
|
Moti Gitik
|
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+
|
Less nonstationary ideals
|
1995
|
Moti Gitik
Saharon Shelah
|
|
+
|
Indiscernible Sequences for Extenders, and the Singular Cardinal Hypothesis
|
1995
|
Moti Gitik
William Mitchell
|
|
+
|
Adding a lot of Cohen reals by adding a few
|
1995
|
Moti Gitik
|
|
+
|
More on real-valued measurable cardinals and forcing with ideals
|
1995
|
Moti Gitik
Saharon Shelah
|
|
+
|
Extender based forcings
|
1994
|
Moti Gitik
Menachem Magidor
|
|
+
|
Blowing up the power of a singular cardinal
|
1994
|
Moti Gitik
|
|
+
|
On closed unbounded sets consisting of former regulars
|
1994
|
Moti Gitik
|
|
+
|
Some results on nonstationry ideal 2
|
1994
|
Moti Gitik
|
|
+
|
Consistency Strength of the Axiom of Full Reflection at Large Cardinals
|
1994
|
Moti Gitik
Jiří Witzany
|
|
+
|
Blowing up the power of a singular cardinal
|
1994
|
Moti Gitik
|
|
+
|
On closed unbounded sets consisting of former regulars
|
1994
|
Moti Gitik
|
|
+
|
On hidden extenders
|
1993
|
Moti Gitik
|
|
+
|
On measurable cardinals violating the continuum hypothesis
|
1993
|
Moti Gitik
|
|
+
|
More on simple forcing notions and forcings with ideals
|
1993
|
Moti Gitik
Saharon Shelah
|
|
+
|
More on ideals with simple forcing notions
|
1993
|
Moti Gitik
Saharon Shelah
|
|
+
|
The Singular Cardinal Hypothesis Revisited
|
1992
|
Moti Gitik
Menachem Magidor
|
|
+
|
The strenght of the failure of the singular cardinal hypothesis
|
1991
|
Moti Gitik
|
|
+
|
On generic elementary embeddings
|
1989
|
Moti Gitik
|
|
+
|
The negation of the singular cardinal hypothesis from o(K)=K++
|
1989
|
Moti Gitik
|
|
+
|
Forcings with ideals and simple forcing notions
|
1989
|
Moti Gitik
Saharon Shelah
|
|
+
|
On certain indestructibility of strong cardinals and a question of Hajnal
|
1989
|
Moti Gitik
Saharon Shelah
|
|
+
PDF
Chat
|
Some results on Specker’s problem
|
1988
|
Arthur W. Apter
Moti Gitik
|
|
+
|
On the Mitchell and Rudin-Kiesler orderings of ultrafilters
|
1988
|
Moti Gitik
|
|
+
|
Changing cofinalities and the nonstationary ideal
|
1986
|
Moti Gitik
|
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+
|
On precipitousness of the nonstationary ideal over a supercompact
|
1986
|
Moti Gitik
|
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+
|
Nonsplitting subset of <sub>κ</sub>(κ<sup>+</sup>)
|
1985
|
Moti Gitik
|
|
+
|
Two weak consequences of 0<sup>#</sup>
|
1985
|
Moti Gitik
Menachem Magidor
Hugh Woodin
|
|
+
PDF
Chat
|
Regular Cardinals in Models of ZF
|
1985
|
Moti Gitik
|
|
+
PDF
Chat
|
Regular cardinals in models of ${\rm ZF}$
|
1985
|
Moti Gitik
|
|
+
|
The nonstationary ideal on ℵ2
|
1984
|
Moti Gitik
|
|
+
|
On the -condition
|
1984
|
Moti Gitik
Saharon Shelah
|
|
+
|
On non-minimal p-points over a measurable cardinal
|
1981
|
Moti Gitik
|
|
+
|
All uncountable cardinals can be singular
|
1980
|
Moti Gitik
|