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arxiv: 1110.6690 · v1 · pith:575QVOKUnew · submitted 2011-10-31 · 🧮 math.LO

Comparing the closed almost disjointness and dominating numbers

classification 🧮 math.LO
keywords alephalmostdominatingfamilyfunctionsmaximalomegathere
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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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