Description

• Title:
  The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Creator:
  Chang, Kung Ching;
  Ghoussoub, N.
• Description:
  We investigate, in a variational setting, the relationship between the Gromoll-Meyer pairs of {\it a dynamically isolated critical set}\/ and the Conley index pairs of its {\it isolating invariant neighbourhoods}. We show that the information given by the critical groups of such a set is equivalent to that given by the Conley index. This allows us to derive - in a non-compact setting - various invariance properties for the Conley index from those of the critical groups, as well as a formula relating the degree of a gradient vector field in an isolating neighbourhood to the Conley index pair associated with it.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  1996.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 7, No 1 (March 1996); 77 - 93;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1996.003/11705
• Subject:
  Gromoll-Meyer pairs;
  Conley index pairs;
  dynamically isolated set;
  isolating invariant neighbourhoods;
  invariance properties of the Conley index;
  58E05;
  58F25;
  58B20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1996.003
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other