Small non-Leighton two-complexes

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.

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

References in corpus (2)

• Two generalisations of Leighton's Theorem
• Leighton's Theorem: extensions, limitations, and quasitrees

Cited by in corpus (2)

• Incommensurable lattices in Baumslag-Solitar complexes
• Tiny non-Leighton complexes