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Comparing the closed almost disjointness and dominating numbers

2012; Polish Academy of Sciences; Volume: 217; Issue: 1 Linguagem: Inglês

10.4064/fm217-1-6

1730-6329

Dilip Raghavan, Saharon Shelah,

Advanced Algebra and Logic

We prove that if there is a dominating family of size $\aleph _{1}$, then there 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 partia