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Pair-splitting, pair-reaping and cardinal invariants of Fσ-ideals

  • Michael Hrušák (a1), David Meza-Alcántara (a2) and Hiroaki Minami (a3)

Abstract

We investigate the pair-splitting number which is a variation of splitting number, pair-reaping number 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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