The LSB theorem implies the KKM lemma

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We prove the lemma of Knaster-Kuratowski-Mazurkiewicz as a consequence of the Lusternik-Schnirelman-Borsuk theorem.
5 pages, 3 figures; related work at http://www.math.hmc.edu/~su/papers.html

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General Topology, Combinatorics, 54H25

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http://salesiana.dossiersoluciones.com/handle/123456789/136789

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409092
 http://arxiv.org/abs/math/0409092
 Amer. Math. Monthly 114 (2007) 156--159

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arXiv