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. |