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 materHebrew University of Jerusalem
AwardsKarp Prize (2013)
Scientific career
FieldsSet theory
InstitutionsTel Aviv University
ThesisAll Uncountable Cardinals can be Singular (1980)
Doctoral advisorsAzriel Levy
Menachem Magidor
Websitemath.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.

See also

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