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Persistent homology for kernels, images, and cokernels (2009)
| Content Provider | CiteSeerX |
|---|---|
| Author | Cohen-Steiner, David Edelsbrunner, Herbert Harer, John Morozov, Dmitriy |
| Description | Motivated by the measurement of local homology and of functions on noisy domains, we extend the notion of persistent homology to sequences of kernels, images, and cokernels of maps induced by inclusions in a filtration of pairs of spaces. Specifically, we note that persistence in this context is well defined, we prove that the persistence diagrams are stable, and we explain how to compute them. |
| File Format | |
| Language | English |
| Publisher Date | 2009-01-01 |
| Publisher Institution | Proc. Nineteenth Annual ACM -SIAM Symposium on Discrete Algorithms |
| Access Restriction | Open |
| Subject Keyword | Local Homology Noisy Domain Persistent Homology Persistence Diagram |
| Content Type | Text |
| Resource Type | Article |