Comparing the closed almost disjointness and dominating numbers
Volume 217 / 2012
Fundamenta Mathematicae 217 (2012), 73-81
MSC: 03E35, 03E65, 03E17, 03E05.
DOI: 10.4064/fm217-1-6
Abstract
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 partial functions.
