Moti Gitik | |
Thesis Title: | All Uncountable Cardinals can be Singular |
Thesis Year: | 1980 |
Fields: | Set theory |
Workplaces: | Tel Aviv University |
Alma Mater: | Hebrew University of Jerusalem |
Doctoral Advisors: | Azriel Levy Menachem Magidor |
Awards: | Karp Prize (2013) |
Moti Gitik 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]
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:
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.