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Discrete Morse Theory: Compatibility with Filtration
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Classroom Contents
Morse-Based Fibering of the Rank Invariant
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- 1 Intro
- 2 Outline
- 3 Multi-Parameter Persistence
- 4 Multi-Parameter Filtration
- 5 Discrete Morse Theory: Compatibility with Filtration
- 6 Importance of Critical Values of K
- 7 The Set of Critical Values
- 8 Partitioning R by C
- 9 Computing the Rank Invariant from Critical Values
- 10 Computing the Rank Invariant by Fibration
- 11 Creating Equivalence Classes of Lines
- 12 Using Push to Calculate the Persistence Diagram of a Lil
- 13 Equivalences Classes of Lines
- 14 Diagrams Along Equivalent Lines are in Bijection
