Tiny non-Leighton complexes
Geometric Topology
2025-05-06 v4 Combinatorics
Group Theory
Abstract
How complex must two finite 2-complexes be to admit a common, but not finite common, covering? We obtain an almost answer: the minimum possible number of triangles in a pseudo-simplicial triangulation of each complex is 3, 4, or 5.
Keywords
Cite
@article{arxiv.2403.09803,
title = {Tiny non-Leighton complexes},
author = {Natalia S. Dergacheva and Anton A. Klyachko},
journal= {arXiv preprint arXiv:2403.09803},
year = {2025}
}
Comments
5 pages. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm . V4: Minor misprint corrections