Description

• Title:
  Equivariant Nielsen fixed point theory
• Creator:
  Better, Joel
• Description:
  We provide an alternative approach to the equivariant Nielsen fixed point theory developed by P. Wong in [< i> Equivariant Nielsen numbers< /i> , Pacific J. Math. < b> 159< /b> (1993), 153–175] by associating an abstract simplicial complex to any $G$-map and defining two $G$-homotopy invariants that are lower bounds for the number of fixed points and orbits in the $G$-homotopy class of a given $G$-map in terms of this complex. We develop a relative equivariant Nielsen fixed point theory along the lines above and prove a minimality result for the Nielsen-type numbers introduced in this setting.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 36, No 1 (September 2010); 179 - 195;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.034/8471
• Subject:
  Equivariant fixed point theory;
  Nielsen fixed point theory;
  G-map;
  55M20;
  57R91;
  57Q91
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.034
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other