Description

• Title:
  Mayer-Vietoris property of the fixed point index
• Creator:
  Barge, Héctor;
  Wójcik, Klaudiusz
• Description:
  We study a Mayer-Vietoris kind formula for the fixed point index of maps of ENR triplets $f\colon (X;X_1,X_2)\to (X;X_1,X_2) $ having compact fixed point set. We prove it under some suitable conditions. For instance when $(X;X_1,X_2)=(E^n;E^n_+,E^n_-)$. We use these results to generalize the Poincaré-Bendixson index formula for vector fields to continuous maps having a \emph{sectorial decomposition}, to study the fixed point index $i(f,0)$ of orientation preserving homeomorphisms of $E^2_+$ and $(E^3;E^3_+,E^3_-)$ and the fixed point index in the invariant subspace.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.09.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 2 (December 2017); 643 - 667;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.034/13022 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.034/13023
• Subject:
  Fixed point index;
  Brouwer degree;
  sectorial decomposition;
  proper pair;
  isolated invariant set;
  Primary;
  37C25;
  Secondary;
  37B30;
  55M25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.034
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other