FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2899592671> ?p ?o ?g. }

• W2899592671 abstract "We prove that any proper, geodesic metric space whose Dehn function grows asymptotically like the Euclidean one has asymptotic cones which are non-positively curved in the sense of Alexandrov, thus are $${mathrm{CAT}}(0)$$ . This is new already in the setting of Riemannian manifolds and establishes in particular the borderline case of a result about the sharp isoperimetric constant which implies Gromov hyperbolicity. Our result moreover provides a large scale analog of a recent result of Lytchak and the author which characterizes proper $${mathrm{CAT}}(0)$$ in terms of the growth of the Dehn function at all scales. We finally obtain a generalization of this result of Lytchak and the author. Namely, we show that if the Dehn function of a proper, geodesic metric space is sufficiently close to the Euclidean Dehn function up to some scale then the space is not far (in a suitable sense) from being $${mathrm{CAT}}(0)$$ up to that scale." @default.
• W2899592671 created "2018-11-16" @default.
• W2899592671 creator A5075811753 @default.
• W2899592671 date "2019-03-21" @default.
• W2899592671 modified "2023-10-17" @default.
• W2899592671 title "Spaces with almost Euclidean Dehn function" @default.
• W2899592671 cites W108975978 @default.
• W2899592671 cites W1523004878 @default.
• W2899592671 cites W1969914889 @default.
• W2899592671 cites W1984151431 @default.
• W2899592671 cites W2008515118 @default.
• W2899592671 cites W2032868343 @default.
• W2899592671 cites W2057018648 @default.
• W2899592671 cites W2076843532 @default.
• W2899592671 cites W2078354770 @default.
• W2899592671 cites W2094793033 @default.
• W2899592671 cites W2100050262 @default.
• W2899592671 cites W2111803789 @default.
• W2899592671 cites W2135126413 @default.
• W2899592671 cites W2158378607 @default.
• W2899592671 cites W2256242387 @default.
• W2899592671 cites W2495295184 @default.
• W2899592671 cites W2567606784 @default.
• W2899592671 cites W2962776941 @default.
• W2899592671 cites W3099821380 @default.
• W2899592671 cites W3101871226 @default.
• W2899592671 cites W4235484205 @default.
• W2899592671 cites W4238128467 @default.
• W2899592671 cites W4240810995 @default.
• W2899592671 cites W4253185233 @default.
• W2899592671 doi "https://doi.org/10.1007/s00208-019-01819-2" @default.
• W2899592671 hasPublicationYear "2019" @default.
• W2899592671 type Work @default.
• W2899592671 sameAs 2899592671 @default.
• W2899592671 citedByCount "1" @default.
• W2899592671 countsByYear W28995926712020 @default.
• W2899592671 crossrefType "journal-article" @default.
• W2899592671 hasAuthorship W2899592671A5075811753 @default.
• W2899592671 hasBestOaLocation W28995926712 @default.
• W2899592671 hasConcept C114614502 @default.
• W2899592671 hasConcept C127413603 @default.
• W2899592671 hasConcept C134306372 @default.
• W2899592671 hasConcept C138885662 @default.
• W2899592671 hasConcept C140142295 @default.
• W2899592671 hasConcept C14036430 @default.
• W2899592671 hasConcept C162324750 @default.
• W2899592671 hasConcept C165818556 @default.
• W2899592671 hasConcept C176217482 @default.
• W2899592671 hasConcept C177148314 @default.
• W2899592671 hasConcept C186450821 @default.
• W2899592671 hasConcept C198043062 @default.
• W2899592671 hasConcept C202444582 @default.
• W2899592671 hasConcept C21547014 @default.
• W2899592671 hasConcept C2778572836 @default.
• W2899592671 hasConcept C2779863119 @default.
• W2899592671 hasConcept C33923547 @default.
• W2899592671 hasConcept C41895202 @default.
• W2899592671 hasConcept C42360764 @default.
• W2899592671 hasConcept C69330547 @default.
• W2899592671 hasConcept C70266181 @default.
• W2899592671 hasConcept C78458016 @default.
• W2899592671 hasConcept C86803240 @default.
• W2899592671 hasConceptScore W2899592671C114614502 @default.
• W2899592671 hasConceptScore W2899592671C127413603 @default.
• W2899592671 hasConceptScore W2899592671C134306372 @default.
• W2899592671 hasConceptScore W2899592671C138885662 @default.
• W2899592671 hasConceptScore W2899592671C140142295 @default.
• W2899592671 hasConceptScore W2899592671C14036430 @default.
• W2899592671 hasConceptScore W2899592671C162324750 @default.
• W2899592671 hasConceptScore W2899592671C165818556 @default.
• W2899592671 hasConceptScore W2899592671C176217482 @default.
• W2899592671 hasConceptScore W2899592671C177148314 @default.
• W2899592671 hasConceptScore W2899592671C186450821 @default.
• W2899592671 hasConceptScore W2899592671C198043062 @default.
• W2899592671 hasConceptScore W2899592671C202444582 @default.
• W2899592671 hasConceptScore W2899592671C21547014 @default.
• W2899592671 hasConceptScore W2899592671C2778572836 @default.
• W2899592671 hasConceptScore W2899592671C2779863119 @default.
• W2899592671 hasConceptScore W2899592671C33923547 @default.
• W2899592671 hasConceptScore W2899592671C41895202 @default.
• W2899592671 hasConceptScore W2899592671C42360764 @default.
• W2899592671 hasConceptScore W2899592671C69330547 @default.
• W2899592671 hasConceptScore W2899592671C70266181 @default.
• W2899592671 hasConceptScore W2899592671C78458016 @default.
• W2899592671 hasConceptScore W2899592671C86803240 @default.
• W2899592671 hasFunder F4320320924 @default.
• W2899592671 hasLocation W28995926711 @default.
• W2899592671 hasLocation W28995926712 @default.
• W2899592671 hasLocation W28995926713 @default.
• W2899592671 hasOpenAccess W2899592671 @default.
• W2899592671 hasPrimaryLocation W28995926711 @default.
• W2899592671 hasRelatedWork W1577495620 @default.
• W2899592671 hasRelatedWork W1651798010 @default.
• W2899592671 hasRelatedWork W1995518262 @default.
• W2899592671 hasRelatedWork W2026429431 @default.
• W2899592671 hasRelatedWork W2054461909 @default.
• W2899592671 hasRelatedWork W2080966335 @default.
• W2899592671 hasRelatedWork W2161938318 @default.
• W2899592671 hasRelatedWork W2163285557 @default.
• W2899592671 hasRelatedWork W2281841720 @default.

• next