Pair-splitting, pair-reaping and cardinal invariants ofFσ-ideals

Author:

Hrušák Michael,Meza-Alcántara David,Minami Hiroaki

Abstract

AbstractWe investigate the pair-splitting numberwhich is a variation of splitting number, pair-reaping numberwhich is a variation of reaping number and cardinal invariants of ideals on ω. We also study cardinal invariants ofFσ 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference16 articles.

1. Filters and sequences;Solecki;Fundamenta Mathematicae,2000

2. Minami Hiroaki , On pair-splitting and pair-reaping pairs of ω, preprint.

3. Minami Hiroaki , Around splitting and reaping number for partitions of ω, submitted 08 2007.

4. Zapping small filters

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