Biography:Moti Gitik
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.[1]
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 2κ > κ+.
- There is a strong limit singular cardinal λ with 2λ > λ+.
- The GCH holds below ℵω, and 2ℵω=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. 26. 243–279. doi:10.1007/978-1-4613-9754-0_16. ISBN 978-1-4613-9756-4.
- Gitik, Moti (1996). "Blowing up the power of a singular cardinal". Annals of Pure and Applied Logic 80 (1): 17–33. 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.
See also
References
- ↑ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
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