A Counterexample Regarding C.E. Closed Subsets of [0,1] Under Homeomorphisms
Logic
2025-08-04 v1
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.
Cite
@article{arxiv.2508.00166,
title = {A Counterexample Regarding C.E. Closed Subsets of [0,1] Under Homeomorphisms},
author = {Volker Bosserhoff},
journal= {arXiv preprint arXiv:2508.00166},
year = {2025}
}