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Bradley Nelson: Parameterized Vietoris-Rips Filtrations via Covers

Bradley Nelson: Parameterized Vietoris-Rips Filtrations via Covers

Applied Algebraic Topology Network via YouTube Direct link

Cyclic Carrier Theorem

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Cyclic Carrier Theorem

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Bradley Nelson: Parameterized Vietoris-Rips Filtrations via Covers

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  1. 1 Introduction
  2. 2 Cover complexes
  3. 3 Persistent homology
  4. 4 Interleavings
  5. 5 Persistence
  6. 6 Cyclic Carrier Theorem
  7. 7 Carriers carry maps
  8. 8 Comments
  9. 9 Application to Covers
  10. 10 Cover homology
  11. 11 How to choose covers
  12. 12 Nested landmarking
  13. 13 Wrapup
  14. 14 What is R
  15. 15 Question

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