Conley decomposition for closed relations

R. P. McGehee, T. Wiandt

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

This paper presents a theory of dynamics of closed relations on compact Hausdorff spaces. It contains an investigation of set valued maps and establishes generalizations for some topological aspects of dynamical systems theory, including recurrence, attractor-repeller structure and the Conley decomposition theorem.

Original languageEnglish (US)
Pages (from-to)1-47
Number of pages47
JournalJournal of Difference Equations and Applications
Volume12
Issue number1
DOIs
StatePublished - Jan 2006

Bibliographical note

Funding Information:
The work for this paper began while McGehee was visiting the University of Colorado in 1990. McGehee gratefully acknowledges the support of the Ulam Professorship program at Colorado. The work evolved over the years, and both McGehee and Wiandt received support from the Geometry Center at the University of Minnesota.

Keywords

  • Attractor-Repeller structure
  • Conley decomposition theorem
  • Hausdorff space
  • Topology

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