On transfinite extension of asymptotic dimension

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We prove that a transfinite extension of asymptotic dimension asind is trivial. We introduce a transfinite extension of asymptotic dimension asdim and give an example of metric proper space which has transfinite infinite dimension.

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General Topology, Geometric Topology, 54F45, 54D35

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http://salesiana.dossiersoluciones.com/handle/123456789/107486

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601235
 http://arxiv.org/abs/math/0601235

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arXiv