|
Moti Gitik is a mathematician, working in set theory, who is professor at the Tel-Aviv University. He 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. In 2012 he became a fellow of the American Mathematical Society.〔(List of Fellows of the American Mathematical Society ), retrieved 2013-01-19.〕 He shared the 2013 Carol Karp Prize of the Association for Symbolic Logic. ==Selected publications== * Moti Gitik, "The power set function", Proceedings of the ICM, Beijing 2002, vol. 1, 507–513. Also (arXiv ). 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Moti Gitik」の詳細全文を読む スポンサード リンク
|