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.
Bibliographical noteFunding 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.
- Attractor-Repeller structure
- Conley decomposition theorem
- Hausdorff space