Abstract
This paper contains an expository account of persistent homology and its usefulness for topological data analysis. An alternative foundation for level set persistence is presented using sheaves and cosheaves.
| Original language | English |
|---|---|
| Pages (from-to) | 333-371 |
| Number of pages | 39 |
| Journal | Japan Journal of Industrial and Applied Mathematics |
| Volume | 32 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 28 2015 |
Keywords
- Barcodes
- Persistent homology
- Sheaves and cosheaves
- Topological data analysis
- o-minimal topology
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