The Unsolvability of the Homeomorphism Problem
Geometric Topology
2026-03-26 v1 Computational Geometry
Abstract
In this short expository note, we give a detailed proof of Markov's theorem on the unsolvability of the homeomorphism problem and of the existence of unrecognizable manifolds in all dimensions larger than 3.
Cite
@article{arxiv.2603.23630,
title = {The Unsolvability of the Homeomorphism Problem},
author = {Stefan Friedl and Tobias Hirsch and Marc Kegel},
journal= {arXiv preprint arXiv:2603.23630},
year = {2026}
}
Comments
7 pages