Paper Info
Title
New combinatorial principle on singular cardinals and normal ideals.
Abstract
We introduce a new combinatorial principle on singular cardinals. This principle allows us to take a kind of a diagonal intersection of more than lambda many measure one sets of certain normal ideals over P(lambda). Under the principle, we give various characterizations of the saturation property of normal ideals over P(lambda). We also consider Chang's type transfer properties under the principle, and, when lambda is Jonsson, we prove that every normal ideal over P(lambda) with {x subset of lambda:vertical bar x vertical bar=lambda} measure one cannot have strong properties.
Year
DOI
Venue
2018
10.1002/malq.201700024
MATHEMATICAL LOGIC QUARTERLY
Field
DocType
Volume
Discrete mathematics,Cardinal number,Mathematics
Journal
64
Issue
ISSN
Citations 
4-5
0942-5616
0
PageRank 
References 
Authors
0.34
1
1
Name
Order
Citations
PageRank
Toshimichi Usuba1144.99