Journal of Symbolic Logic

Semistationary and stationary reflection

Hiroshi Sakai

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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.

Article information

J. Symbolic Logic, Volume 73, Issue 1 (2008), 181-192.

First available in Project Euclid: 16 April 2008

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E55: Large cardinals
Secondary: 03E35: Consistency and independence results

Semistationary reflection Stationary reflection


Sakai, Hiroshi. Semistationary and stationary reflection. J. Symbolic Logic 73 (2008), no. 1, 181--192. doi:10.2178/jsl/1208358748.

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