An Infinitary version of Sperner's lemma

Details An Infinitary version of Sperner's lemma An Infinitary version of Sperner's lemma

2002-08-20

arxiv.org/abs/math/0208141v1

Mathematics

General Topology

9 pages

Scientific paper

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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