A density counterpart of the Scheepers covering property

2025/10/13 by Aurichi, Leandro, Maesano, Fortunato, Zdomskyy, Lyubomyr · 1 citation
#03E17 #03E35 #54A35 #54C35 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2510.11033

Abstract

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

Citations

• Selective separability properties of Fréchet-Urysohn spaces and their products
• A remark on Fremlin-Miller theorem concerning the Menger property and Michael concentrated sets
• Finite powers and products of Menger sets
• A semifilter approach to selection principles

Cited by

• On a variation of selective separability: S-separability

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