Title
Kurepa trees and Namba forcing.
Abstract
We show that strongly compact cardinals and MM are sensitive to lambda-closed foreings for arbitrarily large lambda. This is done by adding 'regressive' lambda-Kurepa trees in either case. We argue that the destruction of regressive Kurepa trees requires a non-standard application of MM. As a corollary, we find a consistent example of an omega(2)-closed poset that is not forcing equivalent to any omega(2)-directed-closed poset.
Year
DOI
Venue
2012
10.2178/jsl.7704130
JOURNAL OF SYMBOLIC LOGIC
Keywords
DocType
Volume
Kurepa trees,compact cardinals,Martin's Maximum
Journal
77
Issue
ISSN
Citations 
4
0022-4812
3
PageRank 
References 
Authors
0.55
4
2
Name
Order
Citations
PageRank
Bernhard König1445.84
Yasuo Yoshinobu2143.73