Moti Gitik

Moti Gitik
Alma materHebrew University of Jerusalem
AwardsKarp Prize (2013)
Scientific career
FieldsSet theory
InstitutionsTel Aviv University
Thesis All Uncountable Cardinals can be Singular  (1980)
Doctoral advisorsAzriel Levy
Menachem Magidor
Websitemath.tau.ac.il/~gitik/

Moti Gitik (Hebrew: 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]

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:

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

  • Gitik, Moti (1986). "Changing Cofinalities and the Nonstationary Ideal". Israel Journal of Mathematics. 56 (3): 280–314. doi:10.1007/BF02782938.
  • Gitik, Moti (1991). "The strength of the failure of the singular cardinal hypothesis". Annals of Pure and Applied Logic. 51 (3): 215–240. doi:10.1016/0168-0072(91)90016-F.
  • Gitik, Moti; Magidor, Menachem (1992). "The Singular Cardinal Hypothesis Revisited". Set Theory of the Continuum. Mathematical Sciences Research Institute Publications. Vol. 26. pp. 243–279. doi:10.1007/978-1-4613-9754-0_16. ISBN 978-1-4613-9756-4. {{cite book}}: |journal= ignored (help)
  • Gitik, Moti (1996). "Blowing up the power of a singular cardinal". Annals of Pure and Applied Logic. 80 (1): 17–33. arXiv:math/9404204. doi:10.1016/0168-0072(95)00046-1.
  • Gitik, Moti (2020). "Extender based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis". Journal of Mathematical Logic. 20 (3): 2050013. doi:10.1142/S0219061320500130. S2CID 46948714.

See also

References

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

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