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arXiv · 2508.00166

A Counterexample Regarding C.E. Closed Subsets of [0,1] Under Homeomorphisms

Volker Bosserhoff
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Abstract

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.

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Volker Bosserhoff. 2025-07-31. A Counterexample Regarding C.E. Closed Subsets of [0,1] Under Homeomorphisms. https://arxiv.org/abs/2508.00166

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