Persistent homology for kernels, images, and cokernels

D. Cohen Steiner, H. Edelsbrunner, J. Harer, D. Morozov, in:, SIAM, 2009, pp. 1011–1020.

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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.
Publishing Year
Date Published
2009-01-01
Page
1011 - 1020
Conference
SODA: Symposium on Discrete Algorithms
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Cohen Steiner D, Edelsbrunner H, Harer J, Morozov D. Persistent homology for kernels, images, and cokernels. In: SIAM; 2009:1011-1020.
Cohen Steiner, D., Edelsbrunner, H., Harer, J., & Morozov, D. (2009). Persistent homology for kernels, images, and cokernels (pp. 1011–1020). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.
Cohen Steiner, David, Herbert Edelsbrunner, John Harer, and Dmitriy Morozov. “Persistent Homology for Kernels, Images, and Cokernels,” 1011–20. SIAM, 2009.
D. Cohen Steiner, H. Edelsbrunner, J. Harer, and D. Morozov, “Persistent homology for kernels, images, and cokernels,” presented at the SODA: Symposium on Discrete Algorithms, 2009, pp. 1011–1020.
Cohen Steiner D, Edelsbrunner H, Harer J, Morozov D. 2009. Persistent homology for kernels, images, and cokernels. SODA: Symposium on Discrete Algorithms 1011–1020.
Cohen Steiner, David, et al. Persistent Homology for Kernels, Images, and Cokernels. SIAM, 2009, pp. 1011–20.

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