Bottleneck stability for generalized persistence diagrams
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- by Alex McCleary and Amit Patel
- Proc. Amer. Math. Soc. 148 (2020), 3149-3161
- 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.References
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Bibliographic Information
- Alex McCleary
- Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
- MR Author ID: 1301682
- Amit Patel
- Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
- MR Author ID: 871669
- 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
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 3149-3161
- MSC (2010): Primary 55U99; Secondary 55N99, 05E99
- DOI: https://doi.org/10.1090/proc/14929
- MathSciNet review: 4099800