Small non-Leighton two-complexes
Geometric Topology
2023-02-14 v4 Combinatorics
Group Theory
Abstract
How many two-cells must two finite CW-complexes have to admit a common, but not finite common, covering? Leighton's theorem says that both complexes must have two-cells. We construct an almost (?) minimal example with two two-cells in each complex.
Cite
@article{arxiv.2108.01398,
title = {Small non-Leighton two-complexes},
author = {Natalia S. Dergacheva and Anton A. Klyachko},
journal= {arXiv preprint arXiv:2108.01398},
year = {2023}
}
Comments
5 pages. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm . V.4: Some details were added