Some cardinal characteristics related to the covering number and the uniformity of the meagre ideal
Some cardinal characteristics related to the covering number and the uniformity of the meagre ideal

Summary/Abstract: We extend the concepts of splitting, reaping, and independent families to families of functions and permutations on ω and define associated cardinal characteristics sf , sp, rf , rp, if , and ip. We study relationships among cov(M), non(M), and these cardinals. In this paper, we show that sf = non(M) = sp, rf = cov(M) ≤ rp, and cov(M) ≤ if , ip.

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