A density counterpart of the Scheepers covering property
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908589226983424 |
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| author | Aurichi, Leandro Maesano, Fortunato Zdomskyy, Lyubomyr |
| author_facet | Aurichi, Leandro Maesano, Fortunato Zdomskyy, Lyubomyr |
| contents | We introduce a density counterpart of the Scheepers covering property $\bigcup_{\mathrm{fin}}(\mathcal O,Ω)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11033 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A density counterpart of the Scheepers covering property Aurichi, Leandro Maesano, Fortunato Zdomskyy, Lyubomyr General Topology 03E35, 54A35, 03E17, 54C35 We introduce a density counterpart of the Scheepers covering property $\bigcup_{\mathrm{fin}}(\mathcal O,Ω)$ 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. |
| title | A density counterpart of the Scheepers covering property |
| topic | General Topology 03E35, 54A35, 03E17, 54C35 |
| url | https://arxiv.org/abs/2510.11033 |