Title
Splitting stationary sets in (λ).
Abstract
Let A be a non-empty set. A set S subset of p(A) is said to be stationary in p(A) if for every f: [A](<omega) -> A there exists x is an element of S such that x not equal A and f"[x](<omega) subset of x. In this paper we prove the following: For an uncountable cardinal 1 and a stationary set S in p(lambda), if there is a regular uncountable cardinal kappa <= lambda such that {x is an element of S : x boolean AND kappa is an element of kappa} is stationary, then S can be split into kappa disjoint stationary subsets.
Year
DOI
Venue
2012
10.2178/jsl/1327068691
JOURNAL OF SYMBOLIC LOGIC
Keywords
Field
DocType
stationary set,saturated ideal,pcf-theory
PCF theory,Discrete mathematics,Disjoint sets,Uncountable set,Existential quantification,Stationary set,Mathematics
Journal
Volume
Issue
ISSN
77
1
0022-4812
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Toshimichi Usuba1144.99