Indivisible ultrametric spaces

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dc.creatorDelhommé, Christian
dc.creatorLaflamme, Claude
dc.creatorPouzet, Maurice
dc.creatorSauer, Norbert
dc.date2007-02-15
dc.date.accessioned2026-07-07T07:47:06Z
dc.date.available2026-07-07T07:47:06Z
dc.descriptionA metric space is indivisible if for any partition of it into finitely many pieces one piece contains an isometric copy of the whole space. Continuing our investigation of indivisible metric spaces, we show that a countable ultrametric space embeds isometrically into an indivisible ultrametric metric space if and only if it does not contain a strictly increasing sequence of balls.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0702466
dc.identifierhttp://arxiv.org/abs/math/0702466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124049
dc.subjectMetric Geometry
dc.subject54E35, 54E40, 03C13
dc.titleIndivisible ultrametric spaces
dc.typetext

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