Moti Gitik
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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.
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. ==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 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 . 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==
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