An Infinitary version of Sperner's lemma
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extensioninfinitarylemmaspernercasecombinatorial-topologicalcorollarycovering
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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.
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