Strong Jordan separation and applications to rigidity

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dc.creatorLafont, J. -F.
dc.date2004-10-21
dc.date2005-06-13
dc.date.accessioned2026-07-07T06:30:23Z
dc.date.available2026-07-07T06:30:23Z
dc.descriptionWe prove that simple, thick hyperbolic P-manifolds of dimension >2 exhibit Mostow rigidity. We also prove a quasi-isometry rigidity result for the fundamental groups of simple, thick hyperbolic P-manifolds of dimension >2. The key tool in the proofs of these rigidity results is a strong form of the Jordan separation theorem, for maps from S^n to S^{n+1} which are not necessarily injective.
dc.description25 pages; shorter proofs of Lemmas 2.4, 2.5, minor typos corrected, added references
dc.identifierhttps://arxiv.org/abs/math/0410476
dc.identifierhttp://arxiv.org/abs/math/0410476
dc.identifierJ. London Math. Soc. 73 (2006), pgs. 681-700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98324
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.titleStrong Jordan separation and applications to rigidity
dc.typetext

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