Paper Info
Title
Fragments of Martin's Maximum in generic extensions
Abstract
We show that large fragments of MM, e. g. the tree property and stationary reflection, are preserved by strongly (omega(1) + 1)-game-closed forcings. PFA can be destroyed by a strongly (omega(1) + 1)-game-closed forcing but not by an omega(2)-closed. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim.
Year
DOI
Venue
2004
10.1002/malq.200410101
MATHEMATICAL LOGIC QUARTERLY
Keywords
Field
DocType
Martin's maximum,generic extension,forcing axioms,Banach-Mazur game
Discrete mathematics,Banach–Mazur game,Martin's maximum,Pure mathematics,Proper forcing axiom,Mathematics
Journal
Volume
Issue
ISSN
50
3
0942-5616
Citations 
PageRank 
References 
7
1.11
4
Authors
2
Name
Order
Citations
PageRank
Bernhard König1445.84
Yasuo Yoshinobu2143.73