Closed copies of $\mathbb{N}$ in $\mathbb{R}^{ω_1}$
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917195216322560 |
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| author | Dow, Alan Hart, Klaas Pieter van Mill, Jan Vermeer, Hans |
| author_facet | Dow, Alan Hart, Klaas Pieter van Mill, Jan Vermeer, Hans |
| contents | We investigate closed copies of~$\mathbb{N}$ in powers of~$\mathbb{R}$ with respect to $C^*$- and $C$-embedding. We show that $\mathbb{R}^{ω_1}$ contains closed copies of~$\mathbb{N}$ that are not $C^*$-embedded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07223 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Closed copies of $\mathbb{N}$ in $\mathbb{R}^{ω_1}$ Dow, Alan Hart, Klaas Pieter van Mill, Jan Vermeer, Hans General Topology Logic Primary 54C45, Secondary: 03E17, 03E50, 03E55, 54D35, 54D40, 54D60, 54G20 We investigate closed copies of~$\mathbb{N}$ in powers of~$\mathbb{R}$ with respect to $C^*$- and $C$-embedding. We show that $\mathbb{R}^{ω_1}$ contains closed copies of~$\mathbb{N}$ that are not $C^*$-embedded. |
| title | Closed copies of $\mathbb{N}$ in $\mathbb{R}^{ω_1}$ |
| topic | General Topology Logic Primary 54C45, Secondary: 03E17, 03E50, 03E55, 54D35, 54D40, 54D60, 54G20 |
| url | https://arxiv.org/abs/2307.07223 |