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Covers and Nerves
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Classroom Contents
Tamal Dey - A Framework for Topological Summarization
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- 1 Intro
- 2 Covers and Nerves
- 3 Maps and covers
- 4 Maps between covers
- 5 Pullback covers
- 6 Hierarchical covering and complexes
- 7 Multiscale Mapper
- 8 Persistence diagram of MM
- 9 Interleaving between HFOSS
- 10 Stability against perturbation of HFOCs
- 11 Cover examples
- 12 Stability against function perturbation
- 13 MM for PL functions
- 14 Combinatorial MM
- 15 Metric viewpoint
- 16 Čech filtrations using du
- 17 Conclusion/Questions
