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
- Moti Gitik, "The power set function", Proceedings of the ICM, Beijing 2002, vol. 1, 507–513. Also arXiv.
gollark: I'll just filter it to "these random items I put in" or something.
gollark: Unfortunately it doesn't seem able to specifically match "all damaged items" but this is better than nothing.
gollark: I never thought of using it with no item filter to just accept "all damaged stuff".
gollark: Oh, right, that's clever.
gollark: How do you configure "all damaged items"?
See also
References
- List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.