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Dynamics of Combinatorial Multivector fields for FTop
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Classroom Contents
Conley-Morse-Forman Theory for Generalized Combinatorial Multivector Fields
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- 1 Intro
- 2 Motivation
- 3 Forman's combinatorial vector fields (Forman, 1998)
- 4 Dynamics of Combinatorial Multivector fields for FTop
- 5 Critical multivectors
- 6 Essential solutions and invariant sets
- 7 Isolated invariant sets and Conley index
- 8 Limit sets
- 9 Morse equation and Morse inequalities
- 10 Persistence of Morse decomposition
- 11 Analysis of a parameter space (Juda 2020)