Description

• Title:
  Topologizing Sperner's lemma
• Creator:
  Tkacz, Przemysław
• Description:
  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.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Przemysław Tkacz
• Date:
  2024.09.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 1 (September 2024); 1 - 13;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55338/39780 ;https://apcz.umk.pl/TMNA/article/view/55338/39781
• Subject:
  dimension;
  labeling;
  KKM principle;
  simplicial complex;
  Sperner's lemma;
  54F45, 54H25, 52B05, 52B11, 05C38
• Identifier: https://apcz.umk.pl/TMNA/article/view/55338
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other