Description

• Title:
  Conley index orientations
• Creator:
  Jänig, Axel
• Description:
  The homotopy Conley index along heteroclinic solutions of certain parabolic evolution equations is zero under appropriate assumptions. This result implies that the so-called connecting homomorphism associated with a heteroclinic solution is an isomorphism. Hence, using $\mathbb{Z}$-coefficients it can be viewed as either $1$ or $-1$ - depending on the choice of generators for the homology Conley index. We develop a method to choose such generators, and compute the connecting homomorphism relative to these generators.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 43, No 1 (March 2014); 171 - 214;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.011/8125
• Subject:
  Conley index theory;
  Morse decompositions;
  reaction diffusion equations;
  Primary 37B30;
  Secondary 37D15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.011
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other