TY - CONF
AB - 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.
AU - Cohen-Steiner, David
AU - Herbert Edelsbrunner
AU - Harer, John
AU - Morozov, Dmitriy
ID - 3967
TI - Persistent homology for kernels, images, and cokernels
ER -