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Metric spaces where geodesics are never unique
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dc.contributor.author | Banaji, Amlan | |
dc.date.accessioned | 2024-07-23T23:37:38Z | |
dc.date.available | 2024-07-23T23:37:38Z | |
dc.date.issued | 2023-08-01 | |
dc.identifier | 285396621 | |
dc.identifier | a0d60bfb-86a8-494f-810d-9c92d870d7f4 | |
dc.identifier | 85165561464 | |
dc.identifier.citation | Banaji , A 2023 , ' Metric spaces where geodesics are never unique ' , The American Mathematical Monthly , vol. 130 , no. 8 , pp. 747-754 . https://doi.org/10.1080/00029890.2023.2231332 | en |
dc.identifier.issn | 0002-9890 | |
dc.identifier.other | ORCID: /0000-0002-3727-0894/work/139551719 | |
dc.identifier.uri | https://hdl.handle.net/10023/30257 | |
dc.description | Funding: This work was supported by the Leverhulme Trust under grant RPG-2019-034. | en |
dc.description.abstract | This article concerns a class of metric spaces, which we call multigeodesic spaces, where between any two distinct points there exist multiple distinct minimizing geodesics. We provide a simple characterization of multigeodesic normed spaces and deduce that (C([0,1]),||⋅||1) is an example of such a space, but that finite-dimensional normed spaces are not. We also investigate what additional features are possible in arbitrary metric spaces which are multigeodesic. | |
dc.format.extent | 8 | |
dc.format.extent | 515066 | |
dc.language.iso | eng | |
dc.relation.ispartof | The American Mathematical Monthly | en |
dc.subject | Geodesics | en |
dc.subject | Multigeodesic spaces | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | NIS | en |
dc.subject | MCC | en |
dc.subject.lcc | QA | en |
dc.title | Metric spaces where geodesics are never unique | en |
dc.type | Journal article | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1080/00029890.2023.2231332 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | https://arxiv.org/abs/2209.00598 | en |
dc.identifier.grantnumber | RPG-2019-034 | en |
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