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March 2008 Semistationary and stationary reflection
Hiroshi Sakai
J. Symbolic Logic 73(1): 181-192 (March 2008). DOI: 10.2178/jsl/1208358748

Abstract

We study the relationship between the semistationary reflection principle and stationary reflection principles. We show that for all regular cardinals λ ≥ ω2 the semistationary reflection principle in the space [λ]ω implies that every stationary subset of Eλω := { α ∈ λ | cf(α) = ω } reflects. We also show that for all cardinals λ ≥ ω3 the semistationary reflection principle in [λ]ω does not imply the stationary reflection principle in [λ]ω.

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Hiroshi Sakai. "Semistationary and stationary reflection." J. Symbolic Logic 73 (1) 181 - 192, March 2008. https://doi.org/10.2178/jsl/1208358748

Information

Published: March 2008
First available in Project Euclid: 16 April 2008

zbMATH: 1149.03039
MathSciNet: MR2387938
Digital Object Identifier: 10.2178/jsl/1208358748

Subjects:
Primary: 03E55
Secondary: 03E35

Rights: Copyright © 2008 Association for Symbolic Logic

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Vol.73 • No. 1 • March 2008
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