The horofunction boundary of finite-dimensional normed spaces

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dc.creatorWalsh, Cormac
dc.date2005-10-05
dc.date2006-06-29
dc.date.accessioned2026-07-07T13:07:23Z
dc.date.available2026-07-07T13:07:23Z
dc.descriptionWe determine the set of Busemann points of an arbitrary finite-dimensional normed space. These are the points of the horofunction boundary that are the limits of "almost-geodesics". We prove that all points in the horofunction boundary are Busemann points if and only if the set of extreme sets of the dual unit ball is closed in the Painleve-Kuratowski topology.
dc.description11 pages v2. Some proofs streamlined and another example added
dc.identifierhttps://arxiv.org/abs/math/0510105
dc.identifierhttp://arxiv.org/abs/math/0510105
dc.identifierMath. Proc. Camb. Phil. Soc, 142 (3) 497-507, 2007
dc.identifierdoi:10.1017/S0305004107000096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228073
dc.subjectGeometric Topology
dc.subjectMetric Geometry
dc.subject53C23 (Primary) 51B20, 20F65 (Secondary)
dc.titleThe horofunction boundary of finite-dimensional normed spaces
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