Moti Gitik

Moti Gitik is an Israeli mathematician who deals with axiomatic set theory and mathematical logic.

Gitik in 1980 received his doctorate at the Hebrew University in Jerusalem in Azriel Levy. (All uncountable cardinals can be singular ). He is a professor at the University of Tel Aviv.

In his thesis he proved the consistency of the statement All uncountable cardinals are singular cardinal numbers with the Zermelo -Fraenkel axioms by showing that the set of these and the postulation of the existence of certain large cardinal numbers (strongly compact cardinal numbers ) follows.

He proved (building on the work of Jack Silver, W. Hugh Woodin and others) various consistency results for models of set theory, in which the hypothesis does not apply Singular cardinal numbers.

In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing ( The power set function). He is a Fellow of the American Mathematical Society.

Writings

  • All uncountable cardinals can be singular, Israel J. Math, Volume 35, 1980, pp. 61-88
  • The negation of the singular cardinal hypothesis from o (k) = k , Annals of Pure and Applied Logic, Volume 43, 1989, p 209-234
Set theory#Axiomatic set theory Azriel Lévy
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