Math @ Duke

Publications [#243584] of John Harer
Papers Published
 CohenSteiner, D; Edelsbrunner, H; Harer, J; Morozov, D, Persistent homology for kernels, images, and cokernels,
Proceedings of the Annual ACMSIAM Symposium on Discrete Algorithms
(2009),
pp. 10111020 [available here]
(last updated on 2019/04/26)
Abstract: 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.


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