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Back to the Nerve Theorem
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Classroom Contents
An Approximate Nerve Theorem
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- 1 Intro
- 2 TDA Pipeline
- 3 Definitions
- 4 Persistent Good Covers
- 5 Goal
- 6 Trivial Modules
- 7 Refinement
- 8 Right & Left Interleavings
- 9 Possibilities
- 10 Decomposition
- 11 Back to the Nerve Theorem
- 12 Double Complex
- 13 Spectral Sequence
- 14 First Page
- 15 Second Page
- 16 Higher Differentials
- 17 Collapse
- 18 Homological Nerve Theorem
- 19 Outline of Proof
- 20 Putting It Together
- 21 One More Step
- 22 Example
- 23 Linking
- 24 Conclusion
- 25 Result
