Indivisible ultrametric spaces

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A 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.
21 pages

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Metric Geometry, 54E35, 54E40, 03C13

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http://salesiana.dossiersoluciones.com/handle/123456789/124049

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702466
 http://arxiv.org/abs/math/0702466

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arXiv