A Counterexample Regarding C.E. Closed Subsets of [0,1] Under Homeomorphisms
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916874942414848 |
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| author | Bosserhoff, Volker |
| author_facet | Bosserhoff, Volker |
| contents | We give an example of a computably enumerable closed subset of [0,1] that is not homeomorphic to any computably compact space. This answers a question of Koh, Melnikov and Ng. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00166 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Counterexample Regarding C.E. Closed Subsets of [0,1] Under Homeomorphisms Bosserhoff, Volker Logic 03D45 We give an example of a computably enumerable closed subset of [0,1] that is not homeomorphic to any computably compact space. This answers a question of Koh, Melnikov and Ng. |
| title | A Counterexample Regarding C.E. Closed Subsets of [0,1] Under Homeomorphisms |
| topic | Logic 03D45 |
| url | https://arxiv.org/abs/2508.00166 |