The density zero ideal and the splitting number
Annals of Pure and Applied Logic 171 (7):102807 (2020)
Abstract
The main result of this paper is an improvement of the upper bound on the cardinal invariant $cov^*(L_0)$ that was discovered in [11]. Here $L_0$ is the ideal of subsets of the set of natural numbers that have asymptotic density zero. This improved upper bound is also dualized to get a better lower bound on the cardinal $non^*(L_0)$. En route some variations on the splitting number are introduced and several relationships between these variants are proved.DOI
10.1016/j.apal.2020.102807
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Combinatorics for the dominating and unsplitting numbers.Jason Aubrey - 2004 - Journal of Symbolic Logic 69 (2):482-498.
