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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

What is the derived category

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What is the derived 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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