# Moti Gitik

#70,834

Most Influential Person Now

Israeli mathematician

## Moti Gitik's AcademicInfluence.com Rankings

Moti Gitikmathematics Degrees

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?

(Suggest an Edit or Addition)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.

## Moti Gitik's Published Works

### 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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## What Schools Are Affiliated With Moti Gitik?

Moti Gitik is affiliated with the following schools: