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Sheaves as Computable and Stable Topological Invariants for Datasets

Sheaves as Computable and Stable Topological Invariants for Datasets

Applied Algebraic Topology Network via YouTube Direct link

Dirac category

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Dirac category

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Sheaves as Computable and Stable Topological Invariants for Datasets

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  1. 1 Introduction
  2. 2 Definitions
  3. 3 Persistence and shifts
  4. 4 What is the derived category
  5. 5 Convolution forces
  6. 6 Shifts
  7. 7 Decomposition theorem
  8. 8 Dirac category
  9. 9 Isometry theorem
  10. 10 Levelset
  11. 11 Persistence Barcode
  12. 12 References
  13. 13 Questions
  14. 14 Matchings

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