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An Infinitary version of Sperner's lemma

Aarno Hohti
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Abstract

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.

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Aarno Hohti. 2002-08-20. An Infinitary version of Sperner's lemma. https://arxiv.org/abs/math/0208141

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