Not OCA and products of Frechet spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909673247997952 |
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| author | Dow, Alan |
| author_facet | Dow, Alan |
| contents | We continue the investigation of the question of whether the product of two countable Fréchet spaces must be M-separable. We are especially interested in this question in the presence of Martin's Axiom. The question has been shown to be independent of Martin's Axiom but only in models in which $\mathfrak c\leqω_2$. In fact, OCA implies an affirmative answer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Not OCA and products of Frechet spaces Dow, Alan General Topology Logic 54A35 (Primary), 03E50, 03E35, 54D55 (Secondary) We continue the investigation of the question of whether the product of two countable Fréchet spaces must be M-separable. We are especially interested in this question in the presence of Martin's Axiom. The question has been shown to be independent of Martin's Axiom but only in models in which $\mathfrak c\leqω_2$. In fact, OCA implies an affirmative answer. |
| title | Not OCA and products of Frechet spaces |
| topic | General Topology Logic 54A35 (Primary), 03E50, 03E35, 54D55 (Secondary) |
| url | https://arxiv.org/abs/2507.01662 |