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Introduce a new filtration
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Classroom Contents
An Approach to Assigning Semantics to Persistent Homology Classes
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- 1 Intro
- 2 What do I mean when I say "semantics"?
- 3 Algebraic topologists suggest: "Compare to a space we understand"
- 4 Why is this hard in practice?
- 5 How might we get around this problem?
- 6 Two filtered complexes, one set of vertices
- 7 Introduce a new filtration
- 8 Putting it all together
- 9 In summary
- 10 Where can I find details and code?
