2005 seminar talk: Critical Points of Rank-to-Rank Embeddings

Talk held by Andrew Brooke-Taylor (MIT) at the KGRC seminar on 2005-04-19.

Abstract

One of the strongest large cardinal axioms we have posits the existence of an elementary embedding j from V_\lambda to V_\lambda for some limit ordinal \lambda. A peculiarity of it is that one such j will generate infinitely many more, not only through composition but also through the process of applying oneembedding to the graph of another.
I will talk about the structure generated in this way, and in particular the critical points of these embeddings.

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.