Comparing the closed almost disjointness and dominating numbers

Details Comparing the closed almost disjointness and dominating numbers Comparing the closed almost disjointness and dominating numbers

2011-10-31

arxiv.org/abs/1110.6690v1

Mathematics

Logic

Scientific paper

We prove that if there is a dominating family of size ${\aleph}_{1}$, then
there is are ${\aleph}_{1}$ many compact subsets of ${\omega}^{\omega}$ whose
union is a maximal almost disjoint family of functions that is also maximal
with respect to infinite partial functions.

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