Description

• Title:
  Combinatorial lemmas for oriented complexes
• Creator:
  Idzik, Adam;
  Junosza-Szaniawski, Konstanty
• Description:
  A solid combinatorial theory is presented. The generalized Sperner lemma for chains is derived from the combinatorial Stokes formula. Many other generalizations follow from applications of an $n$-index of a labelling defined on chains with values in primoids. Primoids appear as the most general structure for which Sperner type theorems can be formulated. Their properties and various examples are given. New combinatorial theorems for primoids are proved. Applying them to different primoids the well-known classic results of Sperner, Fan, Shapley, Lee and Shih are obtained.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 32, No 2 (December 2008); 379 - 409;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.053/8801
• Subject:
  Labelling;
  primoid;
  pseudomanifold;
  Sperner lemma;
  combinatorial Stokes formula;
  Primary 05B30;
  47H10;
  Secondary 52A20;
  54H25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.053
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other