2015 seminar talk: CH and Cofinal maximal chains in the Turing degrees

Talk held by Liang Yu (Nanjing University, Nanjing, PR of China) at the KGRC seminar on 2015-05-29.

Abstract

Over ZFC, we prove that CH is equivalent to the existence of Cofinal maximal chains in the Turing degrees of order type $\omega_1$. However, it is consistent with ZF that they are not equivalent. We also present some applications of the result to the theory of equivalence relations.

Time and Place

Tea at 3:30pm in the KGRC meeting room

Talk at 4:00pm in the KGRC lecture room

Bottom menu

Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.