An Infinitary version of Sperner's lemma

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We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
9 pages

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General Topology, Combinatorics, 57N20;55M20;54F45

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http://salesiana.dossiersoluciones.com/handle/123456789/64740

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208141
 http://arxiv.org/abs/math/0208141

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arXiv