Comparing the closed almost disjointness and dominating numbers

Dilip Raghavan, Saharon Shelah
2012 Fundamenta Mathematicae  
We prove that if there is a dominating family of size ℵ 1 , then there is are ℵ 1 many compact subsets of ω ω whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.
doi:10.4064/fm217-1-6 fatcat:rebt2x4ekvhlroljfrvz2oo4gm