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Conley theory and Morse graph
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Classroom Contents
Tomoo Yokoyama - Generalizations of Morse Graph of Flows and Reeb Graph of Hamiltonian Flows
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- 1 Intro
- 2 Reductions of Reeb graphs to Barcodes
- 3 Reductions of dynamical systems to Morse graphs
- 4 Reductions of Morse flows to CW decompositions
- 5 Triviality of Morse graphs
- 6 Detection of original flows from the time one maps
- 7 Reeb graph for a function and the orbit space of it
- 8 Existing topological invariants of flows
- 9 Definitions recurrent point
- 10 Fundamental notations
- 11 Abstract weak orbit
- 12 Reeb graph as an abstract orbit space with binary relations
- 13 A generalization of a Morse graph and a Reeb graph
- 14 Conley theory and Morse graph
