Title of article :
The least strongly compact can be the least strong and indestructible
Author/Authors :
Apter، نويسنده , , Arthur W.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
We construct two models in which the least strongly compact cardinal κ is also the least strong cardinal. In each of these models, κ satisfies indestructibility properties for both its strong compactness and strongness.
Keywords :
Prikry forcing , Radin forcing , Closure point , Non-reflecting stationary set of ordinals , Supercompact cardinal , Strongly compact cardinal , Strong cardinal , Indestructibility
Journal title :
Annals of Pure and Applied Logic
Journal title :
Annals of Pure and Applied Logic
