English

Forester's lattices and small non-Leighton complexes

Geometric Topology 2026-03-10 v3 Combinatorics Group Theory

Abstract

We construct two CW-complexes KK and LL admitting a common, but not finite common, covering, where KK is homeomorphic to a complex with a single 2-cell.

Cite

@article{arxiv.2407.06680,
  title  = {Forester's lattices and small non-Leighton complexes},
  author = {Natalia S. Dergacheva and Anton A. Klyachko},
  journal= {arXiv preprint arXiv:2407.06680},
  year   = {2026}
}

Comments

6 pages. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm . V3: details are added, an error and misprints are corrected --- thanks to an anonymous referee

R2 v1 2026-06-28T17:34:04.118Z