On hyperbolic Coxeter polytopes with mutually intersecting facets

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dc.creatorFelikson, Anna
dc.creatorTumarkin, Pavel
dc.date2006-04-11
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:47:34Z
dc.date.available2026-07-07T08:47:34Z
dc.descriptionWe prove that, apart from some well-known low-dimensional examples, any compact hyperbolic Coxeter polytope has a pair of disjoint facets. This is one of very few known general results concerning combinatorics of compact hyperbolic Coxeter polytopes. We also obtain a similar result for simple non-compact polytopes.
dc.descriptionv3: accepted version, updated according to referee's comments. 37 pages, a lot of figures. To appear in J. Combinatorial Theory A
dc.identifierhttps://arxiv.org/abs/math/0604248
dc.identifierhttp://arxiv.org/abs/math/0604248
dc.identifierJ. Combin. Theory A 115 (2008), 121--146
dc.identifierdoi:10.1016/j.jcta.2007.04.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143642
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject51F15; 51M20; 20F55
dc.titleOn hyperbolic Coxeter polytopes with mutually intersecting facets
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