English

Comparing the closed almost disjointness and dominating numbers

Logic 2011-11-01 v1

Abstract

We prove that if there is a dominating family of size 1{\aleph}_{1}, then there is are 1{\aleph}_{1} many compact subsets of ωω{\omega}^{\omega} whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.

Keywords

Cite

@article{arxiv.1110.6690,
  title  = {Comparing the closed almost disjointness and dominating numbers},
  author = {Dilip Raghavan and Saharon Shelah},
  journal= {arXiv preprint arXiv:1110.6690},
  year   = {2011}
}
R2 v1 2026-06-21T19:28:11.369Z