Description

• Title:
  Euler characteristics of digital wedge sums and their applications
• Creator:
  Han, Sang-Eon;
  Yao, Wei
• Description:
  Many properties or formulas related to the ordinary Euler characteristics of topological spaces are well developed under many mathematical operands, e.g.\ the product property, fibration property, homotopy axiom, wedge sum property, inclusion-exclusion principle \cite{S1}, etc. Unlike these properties, the digital version of the Euler characteristic has its own feature. Among the above properties, we prove that the digital version of the Euler characteristic has the wedge sum property which is of the same type as that for the ordinary Euler characteristic. This property plays an important role in fixed point theory for digital images, digital homotopy theory, digital geometry and so forth.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.27
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 1 (March 2017); 183 - 203;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.073/10295 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.073/10296
• Subject:
  Euler characteristic;
  Lefschetz number;
  digital image;
  fixed point theorem;
  fixed point property;
  wedge sum;
  digital k-surface;
  digital homology;
  Primary;
  55N35;
  Secondary;
  68U10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.073
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other