Persistent homology for kernels, images, and cokernels
Journal Article
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. Copyright © by SIAM.
Full Text
Duke Authors
Cited Authors
- Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Morozov, D
Published Date
- January 1, 2009
Published In
- Proceedings of the Annual Acm Siam Symposium on Discrete Algorithms
Start / End Page
- 1011 - 1020
Digital Object Identifier (DOI)
- 10.1137/1.9781611973068.110
Citation Source
- Scopus