New examples in the study of selectively separable spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914104790220800 |
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| author | Dow, Alan Pecoraro, Hayden |
| author_facet | Dow, Alan Pecoraro, Hayden |
| contents | The property of being selectively separable is well-studied and generalizations such as H-separable and wH-separable have also generated much interest. Bardyla, Maesano, and Zdomskyy proved from Martin's Axiom that there are countable regular wH-separable spaces that are not H-separable. We prove there is a ZFC example. Their example was also Fréchet-Urysohn, and we produce two additional examples from weaker assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New examples in the study of selectively separable spaces Dow, Alan Pecoraro, Hayden General Topology 54D65 The property of being selectively separable is well-studied and generalizations such as H-separable and wH-separable have also generated much interest. Bardyla, Maesano, and Zdomskyy proved from Martin's Axiom that there are countable regular wH-separable spaces that are not H-separable. We prove there is a ZFC example. Their example was also Fréchet-Urysohn, and we produce two additional examples from weaker assumptions. |
| title | New examples in the study of selectively separable spaces |
| topic | General Topology 54D65 |
| url | https://arxiv.org/abs/2509.22590 |