Topologizing Sperner's lemma
DOI:
https://doi.org/10.12775/TMNA.2024.008Keywords
dimension, labeling, KKM principle, simplicial complex, Sperner's lemmaAbstract
The aim of this paper is to extend Sperner's lemma for a new class of complexes, called $n$-Sperner. Next, we consider a topological version of Sperner's lemma, which leads to characterization of the covering dimension and KKM-principle. Finally, for an arbitrary topological space a new dimension is defined.References
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