Title
Subtlety and partition relations.
Abstract
We study the subtlety of a cardinal kappa and of P-kappa lambda. We show that, under a certain large cardinal assumption, it is consistent that P-kappa lambda is subtle for some lambda > kappa but kappa is not subtle, and the consistency of such a situation is much stronger than the existence of a subtle cardinal. We show that the subtlety of P-kappa lambda can be characterized by a certain partition relation on P-kappa lambda. We also study the property of faintness of kappa and the subtlety of P-kappa lambda with the strong inclusion. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Year
DOI
Venue
2016
10.1002/malq.201400040
MATHEMATICAL LOGIC QUARTERLY
Field
DocType
Volume
Discrete mathematics,Large cardinal,Partition (number theory),Mathematics
Journal
62
Issue
ISSN
Citations 
1-2
0942-5616
0
PageRank 
References 
Authors
0.34
3
1
Name
Order
Citations
PageRank
Toshimichi Usuba1144.99