Paper Info
Title
Winning strategies in club games and their applications
Abstract
We present results concerning winning strategies and tactics in club games on P(omega 1)lambda. We show that there is generally no winning tactic for the player trying to get inside the club. The bound-countable game turns out to be rather fruitful and adds to some previous results about the construction of elementary substructures and their localization in certain intervals. We show that Player II has a winning strategy in the bound-countable game, thus establishing a new ZFC result. The applications given are new proofs for two cardinal diamonds and the impossibility of collapsing cardinals to N(2) under certain conditions. (c) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Year
DOI
Venue
2011
10.1002/malq.200910119
MATHEMATICAL LOGIC QUARTERLY
Keywords
DocType
Volume
Namba lemma,club game,two cardinal diamond
Journal
57
Issue
ISSN
Citations 
1
0942-5616
1
PageRank 
References 
Authors
0.67
0
1
Name
Order
Citations
PageRank
Bernhard König1445.84