An Approximate Nerve Theorem

An Approximate Nerve Theorem

Applied Algebraic Topology Network via YouTube Direct link

Intro

1 of 25

1 of 25

Intro

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An Approximate Nerve Theorem

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  1. 1 Intro
  2. 2 TDA Pipeline
  3. 3 Definitions
  4. 4 Persistent Good Covers
  5. 5 Goal
  6. 6 Trivial Modules
  7. 7 Refinement
  8. 8 Right & Left Interleavings
  9. 9 Possibilities
  10. 10 Decomposition
  11. 11 Back to the Nerve Theorem
  12. 12 Double Complex
  13. 13 Spectral Sequence
  14. 14 First Page
  15. 15 Second Page
  16. 16 Higher Differentials
  17. 17 Collapse
  18. 18 Homological Nerve Theorem
  19. 19 Outline of Proof
  20. 20 Putting It Together
  21. 21 One More Step
  22. 22 Example
  23. 23 Linking
  24. 24 Conclusion
  25. 25 Result

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