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Inverse limits and Shape
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Classroom Contents
Approximation of Compact Metric Spaces by Finite Samples
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- 1 Intro
- 2 Overview
- 3 Persistent homology
- 4 Persistence pipeline
- 5 What is Shape Theory?
- 6 The Hawaiian Earring
- 7 Importance of maps
- 8 Cech homology
- 9 Finite spaces and posets
- 10 Finite spaces and simplicial complexes
- 11 The Main Construction
- 12 Polyhedral Approximative Sequences
- 13 Inverse Persistence
- 14 Previous infinite approximations
- 15 Inverse limits and Shape
