English

A density counterpart of the Scheepers covering property

General Topology 2025-10-14 v1

Abstract

We introduce a density counterpart of the Scheepers covering property fin(O,Ω)\bigcup_{\mathrm{fin}}(\mathcal O,\Omega) and study its relations to known combinatorial density property. In particular, we show that it is equivalent to the MM-separability under the Near Coherence of Filters principle of Blass and Weiss.

Keywords

Cite

@article{arxiv.2510.11033,
  title  = {A density counterpart of the Scheepers covering property},
  author = {Leandro Aurichi and Fortunato Maesano and Lyubomyr Zdomskyy},
  journal= {arXiv preprint arXiv:2510.11033},
  year   = {2025}
}