Moti Gitik

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

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

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

He proved (based on the work of Jack Silver , W. Hugh Woodin and others) various consistency results for models of set theory in which the singular cardinal number hypothesis (SCH) does not hold.

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 . In 2013 he received the Karp Prize in particular for the application of forcing with large cardinal numbers to the pcf theory by Saharon Shelah .

Fonts

• All uncountable cardinals can be singular , Israel J. Math., Vol. 35, 1980, pp. 61-88
• Regular cardinals in Models of ZF , Transactions AMS, Volume 290, 1985, pp. 41-68
• The negation of the singular cardinal hypothesis from ${\displaystyle o(\kappa )=\kappa ^{++}}$ , Annals of Pure and Applied Logic, Volume 43, 1989, pp. 209-234

Web links

• Homepage

Individual evidence

1. ^ Mathematics Genealogy Project