Journal of Symbolic Logic 75 (2):661-677 (2010)

Abstract
We investigate the pair-splitting number $\germ{s}_{pair}$ which is a variation of splitting number, pair-reaping number $\germ{r}_{pair}$ which is a variation of reaping number and cardinal invariants of ideals on ω. We also study cardinal invariants of F σ 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
Keywords Pair-splitting number   pair-reaping number   cardinal invariants of the continuum   F_σ-ideals   Laver forcing
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DOI 10.2178/jsl/1268917498
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References found in this work BETA

No Borel Connections for the Unsplitting Relations.Heike Mildenberger - 2002 - Mathematical Logic Quarterly 48 (4):517-521.
More on Cichon's Diagram and Infinite Games.Masaru Kada - 2000 - Journal of Symbolic Logic 65 (4):1713-1724.
Non-Constructive Galois-Tukey Connections.Heike Mildenberger - 1997 - Journal of Symbolic Logic 62 (4):1179-1186.

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Citations of this work BETA

Ramsey Type Properties of Ideals.M. Hrušák, D. Meza-Alcántara, E. Thümmel & C. Uzcátegui - 2017 - Annals of Pure and Applied Logic 168 (11):2022-2049.
Katětov Order on Borel Ideals.Michael Hrušák - 2017 - Archive for Mathematical Logic 56 (7-8):831-847.
Around Splitting and Reaping for Partitions of Ω.Hiroaki Minami - 2010 - Archive for Mathematical Logic 49 (4):501-518.

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