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June 2010 Pair-splitting, pair-reaping and cardinal invariants of Fσ-ideals
Michael Hrušák, David Meza-Alcántara, Hiroaki Minami
J. Symbolic Logic 75(2): 661-677 (June 2010). DOI: 10.2178/jsl/1268917498

Abstract

We investigate the pair-splitting number 𝔰pair which is a variation of splitting number, pair-reaping number 𝔯pair which is a variation of reaping number and cardinal invariants of ideals on ω. We also study cardinal invariants of Fσ ideals and their upper bounds and lower bounds. As an application, we answer a question of S. Solecki by showing that the ideal of finitely chromatic graphs is not locally Katětov-minimal among ideals not satisfying Fatou's lemma.

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Michael Hrušák. David Meza-Alcántara. Hiroaki Minami. "Pair-splitting, pair-reaping and cardinal invariants of Fσ-ideals." J. Symbolic Logic 75 (2) 661 - 677, June 2010. https://doi.org/10.2178/jsl/1268917498

Information

Published: June 2010
First available in Project Euclid: 18 March 2010

zbMATH: 1201.03041
MathSciNet: MR2648159
Digital Object Identifier: 10.2178/jsl/1268917498

Subjects:
Primary: 03E05, 03E15, 03E17, 03E35

Rights: Copyright © 2010 Association for Symbolic Logic

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Vol.75 • No. 2 • June 2010
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