Moti Gitik
Mordechai "Moti" Gitik (Hebrew: מרדכי ״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]
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/ |
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.
Selected publications
See also
References
- List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
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