Mauricio Che Moguel mauricio.a.che-moguel@durham.ac.uk
Combined Role
Mauricio Che Moguel mauricio.a.che-moguel@durham.ac.uk
Combined Role
Professor Fernando Galaz Garcia fernando.galaz-garcia@durham.ac.uk
Associate Professor
Luis Guijarro
Ingrid Membrillo Solis
Motiejus Valiunas
Given a metric pair (X, A), i.e. a metric space X and a distinguished closed set A ⊂ X, one may construct in a functorial way a pointed pseudometric space D∞(X, A) of persistence diagrams equipped with the bottleneck distance. We investigate the basic metric properties of the spaces D∞(X, A) and obtain characterizations of their metrizability, completeness, separability, and geodesicity.
Che, M., Galaz-García, F., Guijarro, L., Membrillo Solis, I., & Valiunas, M. (2024). Basic metric geometry of the bottleneck distance. Proceedings of the American Mathematical Society, https://doi.org/10.1090/proc/16776
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 4, 2024 |
Online Publication Date | Jun 12, 2024 |
Publication Date | Jun 12, 2024 |
Deposit Date | Jan 19, 2024 |
Publicly Available Date | Jun 12, 2024 |
Journal | Proceedings of the American Mathematical Society |
Print ISSN | 0002-9939 |
Electronic ISSN | 1088-6826 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
DOI | https://doi.org/10.1090/proc/16776 |
Public URL | https://durham-repository.worktribe.com/output/2150611 |
Accepted Journal Article
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This accepted manuscript is licensed under the Creative Commons Attribution 4.0 licence. https://creativecommons.org/licenses/by/4.0/
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