Mathematical logic seminar - Oct 8 2019

Time: 3:30pm - 4:30 pm

Room: Wean Hall 8220

Speaker:     Arthur Apter    
Department of Mathematics
Baruch College of CUNY
and
CUNY Graduate Center, Mathematics

Title: Indestructibility and the first two strongly compact cardinals

Abstract:

Starting from a model of ZFC with two supercompact cardinals, I will discuss how to force and construct a model in which the first two strongly compact cardinals κ1 and κ2 are also the first two measurable cardinals. In this model, κ1's strong compactness is indestructible under arbitrary κ1-directed closed forcing, and κ2's strong compactness is indestructible under Add(κ2, λ) for any ordinal λ. This answers a generalized version of a question of Sargsyan.