Combinatorial rigidity in curve complexes and mapping class groups

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dc.creatorShackleton, Kenneth J.
dc.date2005-03-10
dc.date2006-05-12
dc.date.accessioned2026-07-07T06:39:33Z
dc.date.available2026-07-07T06:39:33Z
dc.descriptionIn all possible cases, we prove that local embeddings between two curve complexes whose complexities do not increase from domain to codomain are induced by surface homeomorphism. This is our first main result. From this we can deduce our second, a strong local co-Hopfian result for mapping class groups.
dc.description15 pages, 3 figures. To appear in the Pacific Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0503199
dc.identifierhttp://arxiv.org/abs/math/0503199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101116
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57M50; 20F38
dc.titleCombinatorial rigidity in curve complexes and mapping class groups
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