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Bottleneck stability for generalized persistence diagrams


Authors: Alex McCleary and Amit Patel
Journal: Proc. Amer. Math. Soc. 148 (2020), 3149-3161
MSC (2010): Primary 55U99; Secondary 55N99, 05E99
DOI: https://doi.org/10.1090/proc/14929
Published electronically: March 30, 2020
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Abstract: In this paper, we extend bottleneck stability to the setting of one dimensional constructible persistence modules valued in any skeletally small abelian category.


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Additional Information

Alex McCleary
Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523

Amit Patel
Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523

DOI: https://doi.org/10.1090/proc/14929
Received by editor(s): July 6, 2018
Received by editor(s) in revised form: April 6, 2019, July 30, 2019, and November 2, 2019
Published electronically: March 30, 2020
Additional Notes: This research was partially supported by NSF grant CCF 1717159
Communicated by: Mark Behrens
Article copyright: © Copyright 2020 American Mathematical Society