A density counterpart of the Scheepers covering property

Summary · qwen2.5:32b

Researchers introduce a density counterpart of the Scheepers covering property $\bigcup_{\mathrm{fin}}(\mathcal O,\Omega)$, which is significant for understanding its relations with known combinatorial density properties. This new property is shown to be equivalent to $M$-separability under the Near Coherence of Filters principle established by Blass and Weiss.

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Discovering a new mathematical property: A density counterpart of the Scheepers covering property in combinatorial density theory

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arXiv:2510.11033v2 Announce Type: replace Abstract: We introduce a density counterpart of the Scheepers covering property $\bigcup_{\mathrm{fin}}(\mathcal O,\Omega)$ and study its relations to known combinatorial density property. In particular, we show that it is equivalent to the $M$-separability under the Near Coherence of Filters principle of Blass and Weiss.