Approximation of Compact Metric Spaces by Finite Samples

Approximation of Compact Metric Spaces by Finite Samples

Applied Algebraic Topology Network via YouTube Direct link

Importance of maps

7 of 15

7 of 15

Importance of maps

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Approximation of Compact Metric Spaces by Finite Samples

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  1. 1 Intro
  2. 2 Overview
  3. 3 Persistent homology
  4. 4 Persistence pipeline
  5. 5 What is Shape Theory?
  6. 6 The Hawaiian Earring
  7. 7 Importance of maps
  8. 8 Cech homology
  9. 9 Finite spaces and posets
  10. 10 Finite spaces and simplicial complexes
  11. 11 The Main Construction
  12. 12 Polyhedral Approximative Sequences
  13. 13 Inverse Persistence
  14. 14 Previous infinite approximations
  15. 15 Inverse limits and Shape

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