Abstract | ||
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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 |
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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 |
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Toshimichi Usuba | 1 | 14 | 4.99 |