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