A pasting lemma for Lipschitz functions

dc.contributor.authorKvalheim, Matthew D.
dc.contributor.authorGustafson, Paul
dc.contributor.authorBurden, Samuel A.
dc.date.accessioned2023-10-25T14:54:43Z
dc.date.available2023-10-25T14:54:43Z
dc.date.issued2021-09-16
dc.description.abstractWe give a necessary and sufficient condition ensuring that any function which is separately Lipschitz on two fixed compact sets is Lipschitz on their union.en_US
dc.description.sponsorshipKvalheim was supported in part by the Army Research Office (ARO) under the SLICE Multidisciplinary University Research Initiatives (MURI) Program, award W911NF1810327. Gustafson was supported in part by UATL 10601110D8Z, a LUCI Fellowship held by Jared Culbertson, granted by the Basic Research Office of the US Undersecretary of Defense for Research and Engineering. Kvalheim and Gustafson were also supported in part by ONR N000141612817, a Vannevar Bush Faculty Fellowship held by Daniel E. Koditschek, sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering. Burden was supported by National Science Foundation Cyber-Physical Systems Program Award #1836819.en_US
dc.description.urihttps://arxiv.org/abs/2109.08209en_US
dc.format.extent4 pagesen_US
dc.genrejournal articlesen_US
dc.genrepreprintsen_US
dc.identifierdoi:10.13016/m2nf1d-m5xg
dc.identifier.urihttps://doi.org/10.48550/arXiv.2109.08209
dc.identifier.urihttp://hdl.handle.net/11603/30372
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en_US
dc.titleA pasting lemma for Lipschitz functionsen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0002-2662-6760en_US

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