Description

• Title:
  Maps on graphs can be deformed to be coincidence free
• Creator:
  Staecker, P. Christopher
• Description:
  We give a construction to remove coincidence points of continuous maps on graphs ($1$-complexes) by changing the maps by homotopies. When the codomain is not homeomorphic to the circle, we show that any pair of maps can be changed by homotopies to be coincidence free. This means that there can be no nontrivial coincidence index, Nielsen coincidence number, or coincidence Reidemeister trace in this setting, and the results of our previous paper ``A formula for the coincidence Reidemeister trace of selfmaps on bouquets of circles'' are invalid.
• Dostępność obiektu:
  free access
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2011.04.23
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 37, No 2 (June 2011); 377 - 381;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.019/8408
• Temat i słowa kluczowe:
  Nielsen theory;
  coincidence theory;
  54H25;
  55M20
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.019
• Dostawca danych:
  Akademicka Platforma Czasopism
• Czy mogę z tego obiektu skorzystać?:
  seek permission
• Rodzaj zawartości:
  other