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

Sonpanow Nattapon, Vejjajiva Pimpen

Reports on Mathematical Logic

2021

Vol. 56

3--14

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.