Time:  12:00  13:20 
Room: 
Wean Hall 7201

Speaker: 
Nam Trang Department of Mathematical Sciences Carnegie Mellon University 
Title: 
Guessing models

Abstract: 
We define a class of guessing models, introduced by Viale and Weiss. The existence of guessing models is equivalent to the principle: every slender list has an ineffable branch. The latter, captures many combinatorial structures of supercompactness and yet can hold at successor cardinals, was isolated and studied by Weiss. We discuss consistency strength and prove some combinatorial consequences of the existence of guessing models. 