Persistent homology for kernels, images, and cokernels
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.
Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Morozov, D
Proceedings of the Annual Acm Siam Symposium on Discrete Algorithms
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