 | This biography of a living person needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately from the article and its talk page, especially if potentially libelous. Find sources: "Moti Gitik" – news · newspapers · books · scholar · JSTOR (January 2013) (Learn how and when to remove this message) |
| Moti Gitik | |
|---|---|
| Alma mater | Hebrew University of Jerusalem |
| Awards | Karp Prize (2013) |
| Scientific career | |
| Fields | Set theory |
| Institutions | Tel Aviv University |
| Thesis | All Uncountable Cardinals can be Singular (1980) |
| Doctoral advisors | Azriel Levy Menachem Magidor |
| Website | math.tau.ac.il/~gitik/ |
Moti Gitik (Hebrew: מוטי גיטיק) 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.
Research
Gitik proved the consistency of "all uncountable cardinals are singular" (a strong negation of the axiom of choice) from the consistency of "there is a proper class of strongly compact cardinals". He further proved the equiconsistency of the following statements:
- There is a cardinal κ with Mitchell order κ.
- There is a measurable cardinal κ with 2 > κ.
- There is a strong limit singular cardinal λ with 2 > λ.
- The GCH holds below ℵω, and 2=ℵω+2.
Gitik discovered several methods for building models of ZFC with complicated Cardinal Arithmetic structure. His main results deal with consistency and equi-consistency of non-trivial patterns of the Power Function over singular cardinals.
Selected publications
- Gitik, Moti (1986). "Changing Cofinalities and the Nonstationary Ideal". Israel Journal of Mathematics. 56 (3): 280–314. doi:10.1007/BF02782938.
- Gitik, Moti (1991). "The strength of the failure of the singular cardinal hypothesis". Annals of Pure and Applied Logic. 51 (3): 215–240. doi:10.1016/0168-0072(91)90016-F.
- Gitik, Moti; Magidor, Menachem (1992). "The Singular Cardinal Hypothesis Revisited". Set Theory of the Continuum. Mathematical Sciences Research Institute Publications. Vol. 26. pp. 243–279. doi:10.1007/978-1-4613-9754-0_16. ISBN 978-1-4613-9756-4.
{{cite book}}:|journal=ignored (help) - Gitik, Moti (1996). "Blowing up the power of a singular cardinal". Annals of Pure and Applied Logic. 80 (1): 17–33. arXiv:math/9404204. doi:10.1016/0168-0072(95)00046-1.
- Gitik, Moti (2020). "Extender based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis". Journal of Mathematical Logic. 20 (3): 2050013. doi:10.1142/S0219061320500130. S2CID 46948714.
See also
References
- List of Fellows of the American Mathematical Society, retrieved 2013-01-19.