dc.contributor.author | Basso, Giuliano | |
dc.contributor.author | Krifka, Yannick | |
dc.contributor.author | Soultanis, Elefterios | |
dc.date.accessioned | 2024-06-05T12:20:20Z | |
dc.date.available | 2024-06-05T12:20:20Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Basso, G., Krifka, Y., & Soultanis, E. (2024). A non-compact convex hull in generalized non-positive curvature. <i>Mathematische Annalen</i>, <i>Early online</i>. <a href="https://doi.org/10.1007/s00208-024-02905-w" target="_blank">https://doi.org/10.1007/s00208-024-02905-w</a> | |
dc.identifier.other | CONVID_216071950 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/95555 | |
dc.description.abstract | Gromov’s (open) question whether the closed convex hull of finitely many points in a complete CAT(0) space is compact naturally extends to weaker notions of non-positive curvature in metric spaces. In this article, we consider metric spaces admitting a conical geodesic bicombing, and show that the question has a negative answer in this setting. Specifically, for each n > 1, we construct a complete metric space X admitting a conical geodesic bicombing, which is the closed convex hull of n points and is not compact. The space X moreover has the universal property that for any n points A = {x1,..., xn} ⊂ Y in a complete CAT(0) space Y there exists a Lipschitz map f : X → Y such that the convex hull of A is contained in f (X). | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Mathematische Annalen | |
dc.rights | CC BY 4.0 | |
dc.title | A non-compact convex hull in generalized non-positive curvature | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202406054313 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.relation.issn | 0025-5831 | |
dc.relation.volume | Early online | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2024 the Authors | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | metriset avaruudet | |
dc.subject.yso | differentiaaligeometria | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s00208-024-02905-w | |
jyx.fundinginformation | Open Access funding provided by University of Jyväskylä (JYU). | |
dc.type.okm | A1 | |