Geometric Interpretation of Persistence

Geometric Interpretation of Persistence

Applied Algebraic Topology Network via YouTube Direct link

Deformation contraction

17 of 20

17 of 20

Deformation contraction

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Classroom Contents

Geometric Interpretation of Persistence

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  1. 1 Introduction
  2. 2 Overview
  3. 3 Setting
  4. 4 Example
  5. 5 Reconstructing spaces
  6. 6 Results
  7. 7 Chapter description
  8. 8 Compact Romanian manifold
  9. 9 Critical triangles
  10. 10 Finite samples
  11. 11 Finite subspace
  12. 12 Technical details
  13. 13 Ideal case
  14. 14 Classical stability
  15. 15 Higher dimensional persistence
  16. 16 Global vs local contraction
  17. 17 Deformation contraction
  18. 18 Surfaces
  19. 19 homology restrictions
  20. 20 neighborhood thing

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