I am interested in the theoretical foundations of persistent homology and topological data analysis.

Below is a list of pages I've created. Please let me know if you have any comments or suggestions, and I apologize in advance for any errors!

Mathematics

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Persistent Homology & Topological Data Analysis

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  1. Persistence module
  2. Offset filtration
  3. Multicover bifiltration
  4. Vietoris-Rips filtration
  5. Subdivision bifiltration
  6. Interleaving distance
  7. Persistent Betti number
  8. Persistent homology group
  9. Persistence barcode

Graph Theory

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  1. Sphericity (graph theory)
  2. Cubicity
  3. Graphs with few cliques

Non-Mathematics

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  1. John Danaher (martial artist)