Generalizing the Croke-Kleiner Construction

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dc.creatorMooney, Christopher
dc.date2008-07-29
dc.date.accessioned2026-07-07T09:53:40Z
dc.date.available2026-07-07T09:53:40Z
dc.descriptionIt is well known that every word hyperbolic group has a well-defined visual boundary. An example of C. Croke and B. Kleiner shows that the same cannot be said for CAT(0) groups. All boundaries of a CAT(0) group are, however, shape equivalent, as observed by M. Bestvina and R. Geoghegan. Bestvina has asked if they also satisfy the stronger condition of being cell-like equivalent. This article describes a construction which will produce CAT(0) groups with multiple boundaries. These groups have very complicated boundaries in high dimensions. It is our hope that their study may provide insight into Bestvina's question.
dc.description21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0807.4745
dc.identifierhttp://arxiv.org/abs/0807.4745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166037
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject57M07; 20F65
dc.titleGeneralizing the Croke-Kleiner Construction
dc.typetext

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