Small non-Leighton two-complexes

Natalia S. Dergacheva; Anton A. Klyachko

doi:10.1017/s0305004122000317

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arXiv · 2108.01398

Small non-Leighton two-complexes

Natalia S. Dergacheva·Anton A. Klyachko

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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.

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Natalia S. Dergacheva, Anton A. Klyachko. 2022-07-24. Small non-Leighton two-complexes. https://doi.org/10.1017/s0305004122000317

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