Description

• Title:
  The relative Reidemeister numbers of fiber map pairs
• Creator:
  Cardona, Fernanda S. P.;
  Wong, Peter N. S.
• Description:
  The relative Reidemeister number, denoted by $\text{\rm R}(f;X,A)$, is an upper bound for the relative Nielsen number, denoted by $\text{\rm N}(f;X,A)$). If $(f,f_{A})$ is a pair of fibre-preserving maps of a pair of Hurewicz fibrations, then under certain conditions, the relative Reidemeister number can be calculated in terms of those on the base and on the fiber. In this paper, we give addition formulas for $\text{\rm R}(f;X,A)$ and for the relative Reidemeister number on the complement $\text{\rm R}(f;X-A)$. As an application, we give estimation of the asymptotic Nielsen type number $text{\rm NI}^{\infty}(f)$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 21, No 1 (March 2003); 131 - 145;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.008/9619
• Subject:
  Relative Nielsen number;
  relative Reidemeister number;
  fixed points of pairs;
  fiber-preserving maps;
  asymptotic Nielsen type number;
  Primary 55M20;
  Secondary 57T15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other