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.List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
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
References
External links