Work

Topologizing Sperner's lemma

Year: 2024

Type: article

Abstract: 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.

Source: Topological Methods in Nonlinear Analysis

DOI: 10.12775/tmna.2024.008

Author: Przemysław Tkacz

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402782506

FWCI: 1.133

Cites:

Cited by: 1

Related to: 10