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David Meyer - Some Algebraic Stability Theorems for Generalized Persistence Modules

David Meyer - Some Algebraic Stability Theorems for Generalized Persistence Modules

Applied Algebraic Topology Network via YouTube Direct link

Metric on P

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Metric on P

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David Meyer - Some Algebraic Stability Theorems for Generalized Persistence Modules

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  1. 1 Intro
  2. 2 Generalized Persistence Modules
  3. 3 Persistent Homology
  4. 4 Workflow Diagram/Algebraic Stability
  5. 5 Bottleneck Metric Example
  6. 6 Interleaving Metrics
  7. 7 Metric on P
  8. 8 Isometry Theorem 1
  9. 9 Variety of Interleavings
  10. 10 Isometry Theorem 2
  11. 11 Stability Theorem 3
  12. 12 Thank You

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