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math.GT2025
Tiny non-Leighton complexes
Natalia S. Dergacheva, Anton A. Klyachko
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-simp…
math.GT2024
Forester's lattices and small non-Leighton complexes
Natalia S. Dergacheva, Anton A. Klyachko
We construct two CW-complexes and admitting a common, but not finite common, covering, where is homeomorphic to a complex with a single 2-cell.