Moti Gitik | Academic Influence

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Moti Gitik

Mathematics

#3254

World Rank

#4846

Historical Rank

Set Theory

#15

World Rank

#23

Historical Rank

Measure Theory

#3415

World Rank

#4032

Historical Rank

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Mathematics

Moti Gitik's Degrees

PhD Mathematics Tel Aviv University
Masters Mathematics Tel Aviv University
Bachelors Mathematics Tel Aviv University

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Why Is Moti Gitik Influential?

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According to Wikipedia, Moti Gitik is a mathematician, working in set theory, who is professor at the Tel-Aviv University. He was an invited speaker at the 2002 International Congresses of Mathematicians, and became a fellow of the American Mathematical Society in 2012.

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Moti Gitik's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Prikry-Type Forcings (2010) (143)
On certain indestructibility of strong cardinals and a question of Hajnal (1989) (104)
All uncountable cardinals can be singular (1980) (89)
Changing cofinalities and the nonstationary ideal (1986) (79)
On SCH and the approachability property (2008) (74)
The Singular Cardinal Hypothesis Revisited (1992) (65)
The Strength of the Failure of the Singular Cardinal Hypothesis (1991) (56)
Forcings with ideals and simple forcing notions (1989) (54)
Indiscernible Sequences for Extenders, and the Singular Cardinal Hypothesis (1995) (45)
Less saturated ideals (1997) (39)
Extender based forcings (1994) (35)
Blowing up power of a lingual cardinal - wider gaps (2002) (34)
On the -condition (1984) (33)
The least measurable can be strongly compact and indestructible (1998) (33)
Nonsplitting Subset of P (+) (1985) (32)
BLOWING UP THE POWER OF A SINGULAR CARDINAL OF UNCOUNTABLE COFINALITY (1994) (31)
More on Simple Forcing Notions and Forcings with Ideals (1993) (29)
On Measurable Cardinals Violating the Continuum Hypothesis (1993) (29)
Nonsplitting subset of κ(κ+) (1985) (28)
On densities of box products (1996) (26)
More on real-valued measurable cardinals and forcing with ideals (1995) (24)
Some results on the nonstationary ideal II (1995) (22)
Pcf theory and Woodin cardinals (2002) (21)
The nonstationary ideal on ℵ2 (1984) (19)
No Bound for the First fixed Point (2000) (19)
Some results on the nonstationary ideal (1995) (19)
Regular cardinals in models of (1985) (18)
Regular Cardinals in Models of Zf (17)
Possible values for 2ℵn and 2ℵω (1997) (15)
On closed unbounded sets consisting of former regulars (1994) (15)
The failure of diamond on a reflecting stationary set (2012) (13)
Intermediate models of Prikry generic extensions (2010) (12)
On the Mitchell and Rudin-Kiesler orderings of ultrafilters (1988) (12)
Approachability at the second successor of a singular cardinal (2009) (12)
On non-minimal p-points over a measurable cardinal (1981) (11)
On gaps under GCH type assumptions (1999) (11)
A model with a measurable which does not carry a normal measure (2012) (11)
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $${\theta}$$θ-supercompact (2013) (10)
Intermediate models of Magidor-Radin forcing-Part II (2020) (9)
Cardinal preserving ideals (1996) (9)
Violating the singular cardinals hypothesis without large cardinals (2011) (9)
SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD (2016) (9)
On some configurations related to the Shelah Weak Hypothesis (1999) (8)
On normal precipitous ideals (2010) (8)
Some constructions of ultrafilters over a measurable cardinal (2020) (8)
On hidden extenders (1993) (7)
ON THE SPLITTING NUMBER AT REGULAR CARDINALS (2014) (7)
On generic elementary embeddings (1989) (7)
Adding a lot of Cohen reals by adding a few I (1995) (6)
Cardinal characteristics at $$\aleph_\omega$$ (2018) (6)
On a question of Pereira (2008) (6)
Early perceptual loss in depression (2007) (6)
Short Extenders Forcings I (2012) (6)
On tall cardinals and some related generalizations (2014) (6)
More on ideals with simple forcing notions (1993) (5)
On σ−complete uniform ultrafilters (2018) (5)
On κ-compact cardinals (2020) (5)
SOME RESULTS ON SPECKER'S PROBLEM (1988) (5)
Sets in Prikry and Magidor generic extensions (2020) (4)
On almost precipitous ideals (2010) (4)
SPFA by finite conditions (2016) (4)
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly θ -supercompact (2015) (4)
Appalachian Set Theory 2006–2012: Short extender forcing (2012) (4)
Applications of pcf for mild large cardinals to elementary embeddings (2013) (4)
Indestructible strong compactness but not supercompactness (2012) (4)
ON RESTRICTIONS OF ULTRAFILTERS FROM GENERIC EXTENSIONS TO GROUND MODELS (2022) (3)
On the powersets of singular cardinals in HOD (2020) (3)
Another method for constructing models of not approachability and not SCH (2021) (3)
A model with a unique normal measure on κ and 2 κ = κ + + from optimal assumptions (2017) (3)
Some pathological examples of precipitous ideals (2008) (3)
Non-stationary support iterations of Prikry forcings and restrictions of ultrapower embeddings to the ground model (2021) (3)
Two Stationary Sets with Different Gaps of the Power Function (2004) (3)
Strange ultrafilters (2019) (3)
A uniform ultrafilter over a singular cardinal with a singular character (2020) (3)
On density of old sets in Prikry type extensions (2016) (2)
A Simpler Short Extenders Forcing- gap 3 (2006) (2)
On precipitousness of the nonstationary ideal over a supercompact (1986) (2)
More on uniform ultrafilters over a singular cardinal (2021) (2)
On Partially Wellfounded Generic Ultrapowers (2008) (2)
On Cohen and Prikry Forcing Notions (2022) (2)
Power function on stationary classes (2006) (2)
Short Extenders Forcings II (2011) (2)
Two weak consequences of 0# (1985) (1)
A cardinal preserving extension making the set of points of countable V cofinality nonstationary (2007) (1)
A note on sequences witnessing singularity, following Magidor and Sinapova (2018) (1)
Possible Values for 2alephn and 2alephomega (1997) (1)
On spectrum of strongly uniform ultrafilters over a singular cardinal (2019) (1)
All uncountable cardinals can be singular (נוספו תקציר ושער: כל המונים הגדולים מ0א יכולים להיות סינגולריים.) (1979) (1)
Consistency strength of the axiom of full reflection at large cardinals (1994) (1)
Collapsing generators (2020) (1)
An other model with tree property and not SCH (2018) (1)
Around Silver's Theorem (2005) (1)
Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis (2020) (1)
Cofinalities of Linear Orders (1999) (1)
Wide gaps with short extenders (1999) (1)
Dropping cofinalities and gaps (2007) (1)
Intermediate models of Magidor-Radin forcing. I (2022) (1)
On changing cofinality of partially ordered sets (2010) (1)
A Model with a Precipitous Ideal, but no Normal Precipitous Ideal (2013) (1)
On the strength of no normal precipitous filter (2011) (1)
Some consistency results on density numbers (2017) (1)
A very weak generalization of SPFA to higher cardinals (2016) (1)
Non-homogeneity of quotients of Prikry forcings (2019) (0)
MORE ON THE FAILURE OF GALVIN’S PROPERTY (2022) (0)
PRIKRY-TYPE FORCINGS AND A FORCING WITH SHORT EXTENDERS (2015) (0)
Another method for constructing models of not approachability and not SCH (2021) (0)
Around accumulation points and maximal sequences of indiscernibles (2019) (0)
J ul 2 00 0 No Bound for the First Fixed Point (0)
Adding a lot of Cohen reals by adding a few. II (2015) (0)
A model with a measurable which does not carry a normal measure (2012) (0)
Clermont-Ferrand, France, July 21–30, 1994 (1995) (0)
On κ-compact cardinals (2020) (0)
A note on blowing up powers of measurable cardinals (2020) (0)
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) (0)
Short extenders forcings - doing without preparations (2020) (0)
Reflection and not SCH with overlapping extenders (2021) (0)
A uniform ultrafilter over a singular cardinal with a singular character (2020) (0)
Combining Short extenders forcings with Extender based Prikry (2013) (0)
A weakly normal ultrafilter amenable to its ultrapower (2021) (0)
Strange ultrafilters (2018) (0)
Remarks on non-closure of the preparation forcing of [2] and an off-piste version of it (2011) (0)
The power set function (2002) (0)
Adding Cohen functions to an ultrapower (2021) (0)
Wide Gaps with Short Extenders Moti Gitik (0)
Dropping cofinalities (2006) (0)
Adding a lot of random reals by adding a few (2017) (0)
Less nonstationary ideals (1995) (0)
Non-Galvin Filters (2022) (0)
Structures with pistes - different sizes (2016) (0)
Calude, C., Calude, E. and Khoussainov, B., Deterministic (1997) (0)
Abstracts of the 16th Annual Meeting of The Israel Society for Neuroscience Eilat, Israel, November 25–27, 2007 (2008) (0)
Fuchino, S., Koppelberg, S. and Shelah, S., Partial orderings (1996) (0)
On tree-like scales (2021) (0)
Another method to add a closed unbounded set of former regulars (2022) (0)
Gap 3 : Lectures March-May 2008 (2008) (0)
Nonspliting subset of #7B-P#7B-K(#7B-K+) (1985) (0)
A variant of Namba Forcing (2009) (0)
On tall cardinals and some related generalizations (2014) (0)
Silver type theorems for collapses (2020) (0)
Violating the singular cardinals hypothesis without large cardinals (2012) (0)
SPFA by finite conditions (2016) (0)
Simpler Short Extenders Forcing-arbitrary gap (2007) (0)
Non-homogeneity of quotients of Prikry forcings (2019) (0)
Some results on nonstationry ideal 2 (1994) (0)
On Easton support iteration of Prikry type forcing notions (2023) (0)
Strongly compact Magidor forcing (2014) (0)
Short extenders forcings – doing without preparations . Bounded gaps (2016) (0)
On decomposability spectra and an extender which overlaps a measure (2021) (0)
Possible values for 2K-and 2K (1997) (0)
REVIEWS-Moti Gitik's recent papers on the Singular Cardinals Problem (2003) (0)
One difference between gap 3 and higher gaps (2008) (0)

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