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Leighton's theorem and
regular cube complexes
Daniel J Woodhouse |
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Algebraic & Geometric Topology 23 (2023) 3395–3415
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Abstract |
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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. |
Keywords
CAT(0) cube complexes, finite covering spaces
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Mathematical Subject Classification
Primary: 20F65, 20F67
Secondary: 20E26, 20E42, 20F55
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References |
Publication
Received: 14 February 2022
Revised: 28 April 2022
Accepted: 19 May 2022
Published: 26 September 2023
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Authors |
| Daniel J Woodhouse | |
| University of Oxford Oxford United Kingdom |
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| http://www.djwoodhouse.com | |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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