Conley-Morse-Forman Theory for Generalized Combinatorial Multivector Fields

Conley-Morse-Forman Theory for Generalized Combinatorial Multivector Fields

Applied Algebraic Topology Network via YouTube Direct link

Persistence of Morse decomposition

10 of 11

10 of 11

Persistence of Morse decomposition

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Classroom Contents

Conley-Morse-Forman Theory for Generalized Combinatorial Multivector Fields

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

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