Adding clubs with square

13 years 2 days ago
Adding clubs with square
We present a technique for destroying stationary subsets of P+ using partial square sequences. We combine this method with Gitik's poset for changing the cofinality of a cardinal without adding bounded sets to prove a variety of consistency results concerning saturated ideals and the set S(, +). In this paper we continue our study of consistency results concerning the set S(, + ) = {a P+ : o.t.(a) = (a )+ } from [5] and [6]. We present a method for destroying the stationarity of certain subsets of P+ , where is inaccessible, using partial square sequences. This method of destroying stationary sets has a variety of applications. We prove several results which support the general theme that the structure of S(, + ) can vary greatly depending on the particular model considered. For example, if is supercompact and
John Krueger
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2006
Where APAL
Authors John Krueger
Comments (0)