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Splitting P κλ into stationary subsets

Published online by Cambridge University Press:  12 March 2014

Yo Matsubara
Yo Matsubara*
Affiliation:
Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
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Abstract

We show that if κ is an inaccessible cardinal then P κλ splits into λ<κ many disjoint stationary subsets. We also show that if P κλ carries a strongly saturated ideal then the nonstationary ideal cannot be λ+-saturated.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 53 , Issue 2 , June 1988 , pp. 385 - 389
Copyright
Copyright © Association for Symbolic Logic 1988

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References

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