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Gitik, Moti

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Author ID: gitik.moti Recent zbMATH articles by "Gitik, Moti"
Published as: Gitik, Moti; Gitik, M.; Gitik, M. B.
Homepage: http://www.math.tau.ac.il/~gitik/
External Links: MGP · Wikidata
Documents Indexed: 90 Publications since 1976

Publications by Year

Citations contained in zbMATH Open

64 Publications have been cited 656 times in 376 Documents Cited by Year
Prikry-type forcings. Zbl 1198.03062
Gitik, Moti
66
2010
On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041
Gitik, Moti; Shelah, Saharon
48
1989
Changing cofinalities and the nonstationary ideal. Zbl 0649.03040
Gitik, Moti
44
1986
The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\). Zbl 0673.03043
Gitik, Moti
43
1989
On SCH and the approachability property. Zbl 1140.03033
Gitik, Moti; Sharon, Assaf
36
2008
The singular cardinal hypothesis revisited. Zbl 0788.03066
Gitik, Moti; Magidor, Menachem
34
1992
Nonsplitting subset of \({\mathcal P}_\kappa(\kappa^ +)\). Zbl 0601.03021
Gitik, Moti
26
1985
Forcings with ideals and simple forcing notions. Zbl 0686.03027
Gitik, Moti; Shelah, Saharon
22
1989
The strength of the failure of the singular cardinal hypothesis. Zbl 0726.03036
Gitik, Moti
22
1991
Indiscernible sequences for extenders, and the singular cardinal hypothesis. Zbl 0871.03041
Gitik, Moti; Mitchell, William J.
22
1996
All uncountable cardinals can be singular. Zbl 0439.03036
Gitik, M.
21
1980
Less saturated ideals. Zbl 0864.03031
Gitik, Moti; Shelah, Saharon
17
1997
Extender based forcings. Zbl 0820.03032
Gitik, Moti; Magidor, Menachem
16
1994
The least measurable can be strongly compact and indestructible. Zbl 0926.03067
Apter, Arthur W.; Gitik, Moti
16
1998
Blowing up power of a singular cardinal – wider gaps. Zbl 0997.03042
Gitik, Moti
15
2002
On measurable cardinals violating the continuum hypothesis. Zbl 0786.03037
Gitik, Moti
12
1993
More on simple forcing notions and forcings with ideals. Zbl 0779.03019
Gitik, M.; Shelah, Saharon
11
1993
Regular cardinals in models of ZF. Zbl 0589.03033
Gitik, Moti
10
1985
Blowing up the power of a singular cardinal. Zbl 0849.03039
Gitik, Moti
9
1996
The nonstationary ideal on \(\aleph _ 2\). Zbl 0563.03016
Gitik, Moti
9
1984
More on real-valued measurable cardinals and forcing with ideals. Zbl 1018.03043
Gitik, Moti; Shelah, Saharon
9
2001
Some results on the nonstationary ideal. Zbl 0849.03042
Gitik, Moti
8
1995
On the Mitchell and Rudin-Keisler orderings of ultrafilters. Zbl 0657.03038
Gitik, Moti
8
1988
The failure of diamond on a reflecting stationary set. Zbl 1250.03095
Gitik, Moti; Rinot, Assaf
7
2012
Cardinal preserving ideals. Zbl 0946.03060
Gitik, Moti; Shelah, Saharon
7
1999
On non-minimal p-points over a measurable cardinal. Zbl 0481.03032
Gitik, Moti
6
1981
Some results on the nonstationary ideal. II. Zbl 0883.03036
Gitik, Moti
6
1997
Possible values for \(2^{\aleph_n}\) and \(2^{\aleph_\omega}\). Zbl 0896.03041
Gitik, Moti; Merimovich, Carmi
6
1997
On densities of box products. Zbl 0926.03060
Gitik, Moti; Shelah, Saharon
6
1998
PCF theory and Woodin cardinals. Zbl 1107.03057
Gitik, Moti; Schindler, Ralf; Shelah, Saharon
6
2006
On normal precipitous ideals. Zbl 1200.03030
Gitik, Moti
5
2010
On hidden extenders. Zbl 0872.03034
Gitik, Moti
5
1996
Extender based forcings, fresh sets and Aronszajn trees. Zbl 1358.03073
Gitik, Moti
5
2014
On the \({\mathbb{I}}\)-condition. Zbl 0559.03032
Gitik, Moti; Shelah, Saharon
5
1984
On closed unbounded sets consisting of former regulars. Zbl 0926.03068
Gitik, Moti
5
1999
Indestructible strong compactness but not supercompactness. Zbl 1250.03092
Apter, Arthur W.; Gitik, Moti; Sargsyan, Grigor
4
2012
Approachability at the second successor of a singular cardinal. Zbl 1184.03046
Gitik, Moti; Krueger, John
4
2009
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly \(\theta\)-supercompact. Zbl 1360.03082
Cody, Brent; Gitik, Moti; Hamkins, Joel David; Schanker, Jason A.
4
2015
No bound for the first fixed point. Zbl 1096.03061
Gitik, Moti
4
2005
Short extenders forcings. I. Zbl 1271.03066
Gitik, Moti
3
2012
On almost precipitous ideals. Zbl 1203.03063
Ferber, Asaf; Gitik, Moti
3
2010
On tall cardinals and some related generalizations. Zbl 1341.03076
Apter, Arthur W.; Gitik, Moti
3
2014
Some pathological examples of precipitous ideals. Zbl 1140.03032
Gitik, Moti
3
2008
On a question of Pereira. Zbl 1145.03024
Gitik, Moti
3
2008
On the splitting number at regular cardinals. Zbl 1378.03035
Ben-Neria, Omer; Gitik, Moti
3
2015
On gaps under GCH type assumptions. Zbl 1016.03053
Gitik, Moti
3
2003
On generic elementary embeddings. Zbl 0706.03041
Gitik, Moti
3
1989
On changing cofinality of partially ordered sets. Zbl 1203.03061
Gitik, Moti
2
2010
A model with a measurable which does not carry a normal measure. Zbl 1270.03097
Bilinsky, Eilon; Gitik, Moti
2
2012
A simpler short extenders forcing – gap 3. Zbl 1152.03046
Gitik, Moti
2
2008
On some configurations related to the Shelah Weak Hypothesis. Zbl 1021.03037
Gitik, Moti; Shelah, Saharon
2
2001
Violating the singular cardinals hypothesis without large cardinals. Zbl 1291.03094
Gitik, Moti; Koepke, Peter
2
2012
Blowing up the power of a singular cardinal of uncountable cofinality. Zbl 1455.03063
Gitik, Moti
2
2019
Around Silver’s theorem. Zbl 1091.03015
Gitik, Moti
1
2005
Applications of pcf for mild large cardinals to elementary embeddings. Zbl 1323.03070
Gitik, Moti; Shelah, Saharon
1
2013
On partially wellfounded generic ultrapowers. Zbl 1133.03021
Gitik, Moti; Magidor, Menachem
1
2008
Adding a lot of Cohen reals by adding a few. II. Zbl 1375.03063
Gitik, Moti; Golshani, Mohammad
1
2015
Adding a lot of Cohen reals by adding a few. I. Zbl 1364.03071
Gitik, Moti; Golshani, Mohammad
1
2015
Some results on Specker’s problem. Zbl 0657.03033
Apter, Arthur W.; Gitik, Moti
1
1988
On precipitousness of the nonstationary ideal over a supercompact. Zbl 0627.03036
Gitik, Moti
1
1986
A cardinal preserving extension making the set of points of countable \(V\) cofinality nonstationary. Zbl 1115.03069
Gitik, Moti; Neeman, Itay; Sinapova, Dima
1
2007
Power function on stationary classes. Zbl 1106.03045
Gitik, Moti; Merimovich, Carmi
1
2006
Short extender forcing. Zbl 1367.03089
Gitik, Moti; Unger, Spencer
1
2013
Some consistency results on density numbers. Zbl 1453.03051
Gitik, Moti
1
2018
Blowing up the power of a singular cardinal of uncountable cofinality. Zbl 1455.03063
Gitik, Moti
2
2019
Some consistency results on density numbers. Zbl 1453.03051
Gitik, Moti
1
2018
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly \(\theta\)-supercompact. Zbl 1360.03082
Cody, Brent; Gitik, Moti; Hamkins, Joel David; Schanker, Jason A.
4
2015
On the splitting number at regular cardinals. Zbl 1378.03035
Ben-Neria, Omer; Gitik, Moti
3
2015
Adding a lot of Cohen reals by adding a few. II. Zbl 1375.03063
Gitik, Moti; Golshani, Mohammad
1
2015
Adding a lot of Cohen reals by adding a few. I. Zbl 1364.03071
Gitik, Moti; Golshani, Mohammad
1
2015
Extender based forcings, fresh sets and Aronszajn trees. Zbl 1358.03073
Gitik, Moti
5
2014
On tall cardinals and some related generalizations. Zbl 1341.03076
Apter, Arthur W.; Gitik, Moti
3
2014
Applications of pcf for mild large cardinals to elementary embeddings. Zbl 1323.03070
Gitik, Moti; Shelah, Saharon
1
2013
Short extender forcing. Zbl 1367.03089
Gitik, Moti; Unger, Spencer
1
2013
The failure of diamond on a reflecting stationary set. Zbl 1250.03095
Gitik, Moti; Rinot, Assaf
7
2012
Indestructible strong compactness but not supercompactness. Zbl 1250.03092
Apter, Arthur W.; Gitik, Moti; Sargsyan, Grigor
4
2012
Short extenders forcings. I. Zbl 1271.03066
Gitik, Moti
3
2012
A model with a measurable which does not carry a normal measure. Zbl 1270.03097
Bilinsky, Eilon; Gitik, Moti
2
2012
Violating the singular cardinals hypothesis without large cardinals. Zbl 1291.03094
Gitik, Moti; Koepke, Peter
2
2012
Prikry-type forcings. Zbl 1198.03062
Gitik, Moti
66
2010
On normal precipitous ideals. Zbl 1200.03030
Gitik, Moti
5
2010
On almost precipitous ideals. Zbl 1203.03063
Ferber, Asaf; Gitik, Moti
3
2010
On changing cofinality of partially ordered sets. Zbl 1203.03061
Gitik, Moti
2
2010
Approachability at the second successor of a singular cardinal. Zbl 1184.03046
Gitik, Moti; Krueger, John
4
2009
On SCH and the approachability property. Zbl 1140.03033
Gitik, Moti; Sharon, Assaf
36
2008
Some pathological examples of precipitous ideals. Zbl 1140.03032
Gitik, Moti
3
2008
On a question of Pereira. Zbl 1145.03024
Gitik, Moti
3
2008
A simpler short extenders forcing – gap 3. Zbl 1152.03046
Gitik, Moti
2
2008
On partially wellfounded generic ultrapowers. Zbl 1133.03021
Gitik, Moti; Magidor, Menachem
1
2008
A cardinal preserving extension making the set of points of countable \(V\) cofinality nonstationary. Zbl 1115.03069
Gitik, Moti; Neeman, Itay; Sinapova, Dima
1
2007
PCF theory and Woodin cardinals. Zbl 1107.03057
Gitik, Moti; Schindler, Ralf; Shelah, Saharon
6
2006
Power function on stationary classes. Zbl 1106.03045
Gitik, Moti; Merimovich, Carmi
1
2006
No bound for the first fixed point. Zbl 1096.03061
Gitik, Moti
4
2005
Around Silver’s theorem. Zbl 1091.03015
Gitik, Moti
1
2005
On gaps under GCH type assumptions. Zbl 1016.03053
Gitik, Moti
3
2003
Blowing up power of a singular cardinal – wider gaps. Zbl 0997.03042
Gitik, Moti
15
2002
More on real-valued measurable cardinals and forcing with ideals. Zbl 1018.03043
Gitik, Moti; Shelah, Saharon
9
2001
On some configurations related to the Shelah Weak Hypothesis. Zbl 1021.03037
Gitik, Moti; Shelah, Saharon
2
2001
Cardinal preserving ideals. Zbl 0946.03060
Gitik, Moti; Shelah, Saharon
7
1999
On closed unbounded sets consisting of former regulars. Zbl 0926.03068
Gitik, Moti
5
1999
The least measurable can be strongly compact and indestructible. Zbl 0926.03067
Apter, Arthur W.; Gitik, Moti
16
1998
On densities of box products. Zbl 0926.03060
Gitik, Moti; Shelah, Saharon
6
1998
Less saturated ideals. Zbl 0864.03031
Gitik, Moti; Shelah, Saharon
17
1997
Some results on the nonstationary ideal. II. Zbl 0883.03036
Gitik, Moti
6
1997
Possible values for \(2^{\aleph_n}\) and \(2^{\aleph_\omega}\). Zbl 0896.03041
Gitik, Moti; Merimovich, Carmi
6
1997
Indiscernible sequences for extenders, and the singular cardinal hypothesis. Zbl 0871.03041
Gitik, Moti; Mitchell, William J.
22
1996
Blowing up the power of a singular cardinal. Zbl 0849.03039
Gitik, Moti
9
1996
On hidden extenders. Zbl 0872.03034
Gitik, Moti
5
1996
Some results on the nonstationary ideal. Zbl 0849.03042
Gitik, Moti
8
1995
Extender based forcings. Zbl 0820.03032
Gitik, Moti; Magidor, Menachem
16
1994
On measurable cardinals violating the continuum hypothesis. Zbl 0786.03037
Gitik, Moti
12
1993
More on simple forcing notions and forcings with ideals. Zbl 0779.03019
Gitik, M.; Shelah, Saharon
11
1993
The singular cardinal hypothesis revisited. Zbl 0788.03066
Gitik, Moti; Magidor, Menachem
34
1992
The strength of the failure of the singular cardinal hypothesis. Zbl 0726.03036
Gitik, Moti
22
1991
On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041
Gitik, Moti; Shelah, Saharon
48
1989
The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\). Zbl 0673.03043
Gitik, Moti
43
1989
Forcings with ideals and simple forcing notions. Zbl 0686.03027
Gitik, Moti; Shelah, Saharon
22
1989
On generic elementary embeddings. Zbl 0706.03041
Gitik, Moti
3
1989
On the Mitchell and Rudin-Keisler orderings of ultrafilters. Zbl 0657.03038
Gitik, Moti
8
1988
Some results on Specker’s problem. Zbl 0657.03033
Apter, Arthur W.; Gitik, Moti
1
1988
Changing cofinalities and the nonstationary ideal. Zbl 0649.03040
Gitik, Moti
44
1986
On precipitousness of the nonstationary ideal over a supercompact. Zbl 0627.03036
Gitik, Moti
1
1986
Nonsplitting subset of \({\mathcal P}_\kappa(\kappa^ +)\). Zbl 0601.03021
Gitik, Moti
26
1985
Regular cardinals in models of ZF. Zbl 0589.03033
Gitik, Moti
10
1985
The nonstationary ideal on \(\aleph _ 2\). Zbl 0563.03016
Gitik, Moti
9
1984
On the \({\mathbb{I}}\)-condition. Zbl 0559.03032
Gitik, Moti; Shelah, Saharon
5
1984
On non-minimal p-points over a measurable cardinal. Zbl 0481.03032
Gitik, Moti
6
1981
All uncountable cardinals can be singular. Zbl 0439.03036
Gitik, M.
21
1980
all top 5

Cited by 172 Authors

61 Gitik, Moti
46 Shelah, Saharon
41 Apter, Arthur W.
17 Sinapova, Dima
16 Friedman, Sy-David
14 Magidor, Menachem
13 Rinot, Assaf
12 Unger, Spencer T.
11 Merimovich, Carmi
10 Ben-Neria, Omer
10 Cummings, James
10 Golshani, Mohammad
10 Honzik, Radek
9 Garti, Shimon
9 Hamkins, Joel David
9 Hayut, Yair
9 Krueger, John
9 Matet, Pierre
6 Džamonja, Mirna
6 Eskew, Monroe
6 Koepke, Peter
6 Mitchell, William John
5 Cody, Brent M.
5 Cox, Sean D.
5 Foreman, Matthew D.
5 Kojman, Menachem
5 Lambie-Hanson, Chris
5 Neeman, Itay
5 Sargsyan, Grigor
5 Viale, Matteo
4 Bagaria, Joan
4 Kanamori, Akihiro
4 Karagila, Asaf
4 Matsubara, Yo
4 Usuba, Toshimichi
3 Corazza, Paul
3 Dimonte, Vincenzo
3 Velickovic, Boban
3 Zeman, Martin
2 Cheng, Yong
2 Dimitriou, Ioanna Matilde
2 Du, Jin
2 Gitman, Victoria
2 Greenberg, Noam
2 Henle, James M.
2 Johnstone, Thomas A.
2 Kellner, Jakob
2 Kumar, Ashutosh
2 Levine, Maxwell
2 Mildenberger, Heike
2 Moore, Justin Tatch
2 Poveda, Alejandro
2 Sakai, Hiroshi
2 Schimmerling, Ernest
2 Schindler, Ralf-Dieter
2 Sharon, Assaf
2 Shi, Xianghui
2 Stejskalová, Šárka
2 Todorcevic, Stevo B.
2 Tsaban, Boaz
2 Woodin, W. Hugh
2 Yoshinobu, Yasuo
2 Żeberski, Szymon
1 Adolf, Dominik Thomas
1 Ahmed, Shehzad
1 Arslanov, M. Z.
1 Asperó, David
1 Benhamou, Tom
1 Błaszczyk, Aleksander
1 Bosch, Roger
1 Brendle, Jörg
1 Brooke-Taylor, Andrew D.
1 Brunner, Norbert
1 Buhagiar, David
1 Bukovský, Lev
1 Burke, Douglas R.
1 Burke, Maxim R.
1 Busche, Daniel
1 Chen-Mertens, William
1 Chen, William Barry
1 Chernikov, Artem
1 Chis, Cristina
1 Cichoń, Jacek
1 Comfort, William Wistar
1 Coplakova, Eva
1 Daghighi, Ali Sadegh
1 Deiser, Oliver
1 Diener, Karl-Heinz
1 Dobrinen, Natasha L.
1 Donder, Dieter
1 Donder, Hans-Dieter
1 Dougherty, Randall L.
1 Ferber, Asaf
1 Ferrer, Maria Vicenta
1 Frankiewicz, Ryszard
1 Fremlin, David H.
1 Fuchino, Sakaé
1 Galindo, Jorge
1 Gilton, Thomas
1 Göbel, Rüdiger
...and 72 more Authors
all top 5

Cited in 42 Serials

66 Annals of Pure and Applied Logic
64 The Journal of Symbolic Logic
56 Archive for Mathematical Logic
45 Israel Journal of Mathematics
18 Proceedings of the American Mathematical Society
18 Transactions of the American Mathematical Society
15 Mathematical Logic Quarterly (MLQ)
13 Journal of Mathematical Logic
10 Topology and its Applications
8 The Bulletin of Symbolic Logic
7 Advances in Mathematics
6 Fundamenta Mathematicae
5 Notre Dame Journal of Formal Logic
4 Acta Mathematica Hungarica
3 Journal of Pure and Applied Algebra
3 Journal of Applied Analysis
3 European Journal of Mathematics
2 Acta Mathematica
2 Bulletin of the American Mathematical Society. New Series
2 Bulletin of the Polish Academy of Sciences, Mathematics
1 Discrete Mathematics
1 Algebra Universalis
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Fuzzy Sets and Systems
1 Journal of Algebra
1 Journal of the Mathematical Society of Japan
1 Monatshefte für Mathematik
1 Rendiconti del Seminario Matematico della Università di Padova
1 Studia Logica
1 Bulletin of the Iranian Mathematical Society
1 Order
1 Journal of the American Mathematical Society
1 Topology Proceedings
1 Georgian Mathematical Journal
1 Electronic Research Announcements of the American Mathematical Society
1 Journal of Inequalities and Applications
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Sarajevo Journal of Mathematics
1 The Review of Symbolic Logic
1 Bollettino dell’Unione Matematica Italiana

Citations by Year

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