Conley decomposition for closed relations |
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Authors: | R. P. McGehee T. Wiandt |
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Affiliation: | 1. University of Minnesota , Minneapolis, MN, USA mcgehee@math.umn.edu;3. Rochester Institute of Technology , Rochester, NY, USA |
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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. |
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Keywords: | Hausdorff space Attractor–Repeller structure Conley decomposition theorem Topology |
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