Geodesic
Leighton’s theorem and regular cube complexes
Woodhouse, Daniel J1
1 University of Oxford, Oxford, United Kingdom
Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3395-3415

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Leighton’s graph covering theorem states that two finite graphs with common universal cover have a common finite cover. We generalize this to a large family of nonpositively curved special cube complexes that form a natural generalization of regular graphs. This family includes both hyperbolic and nonhyperbolic CAT(0) cube complexes.

DOI : 10.2140/agt.2023.23.3395
Keywords: CAT(0) cube complexes, finite covering spaces

Woodhouse, Daniel J 1

1 University of Oxford, Oxford, United Kingdom 
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Woodhouse, Daniel J. Leighton’s theorem and regular cube complexes. Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3395-3415. doi: 10.2140/agt.2023.23.3395

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