Comparing the closed almost disjointness and dominating numbers
  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. 
Dilip Raghavan and Saharon Shelah
math.LO