Moti Gitik

Updated on Nov 01, 2023

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Institutions Tel-Aviv University Institution Tel Aviv University		Fields Mathematics Name Moti Gitik


Academic advisor Menachem Magidor

Moti Gitik is a mathematician, working in set theory, who is professor at the Tel-Aviv University. He 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:

Moti Gitik Moti Gitik Joel David Hamkins

There is a cardinal κ with Mitchell order κ⁺⁺.

There is a measurable cardinal κ with 2^κ > κ⁺.

There is a strong limit singular cardinal λ with 2^λ > λ⁺.

The GCH holds below ℵ_ω and 2^ℵ_ω=ℵ_ω+2.

In 2012 he became a fellow of the American Mathematical Society.

He shared the 2013 Carol Karp Prize of the Association for Symbolic Logic.

Selected publications

Moti Gitik, "The power set function", Proceedings of the ICM, Beijing 2002, vol. 1, 507–513. Also arXiv.

References

Moti Gitik Wikipedia

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