Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287685972> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4287685972 abstract "Almost forty years ago, Connes, Feldman and Weiss proved that for measurable equivalence relations the notions of amenability and hyperfiniteness coincide. In this paper we define the uniform version of amenability and hyperfiniteness for measurable graphed equivalence relations of bounded vertex degrees and prove that these two notions coincide as well. Roughly speaking, a measured graph $cG$ is uniformly hyperfinite if for any $eps>0$ there exists $Kgeq 1$ such that not only $cG$, but all of its subgraphs of positive measure are $(eps,K)$-hyperfinite. We also show that this condition is equivalent to weighted hyperfiniteness and a strong version of fractional hyperfiniteness, a notion recently introduced by Lov'asz. As a corollary, we obtain a characterization of exactness of finitely generated groups via uniform hyperfiniteness." @default.
- W4287685972 created "2022-07-26" @default.
- W4287685972 creator A5000595324 @default.
- W4287685972 date "2020-08-24" @default.
- W4287685972 modified "2023-09-27" @default.
- W4287685972 title "Uniform hyperfiniteness" @default.
- W4287685972 doi "https://doi.org/10.48550/arxiv.2008.10595" @default.
- W4287685972 hasPublicationYear "2020" @default.
- W4287685972 type Work @default.
- W4287685972 citedByCount "0" @default.
- W4287685972 crossrefType "posted-content" @default.
- W4287685972 hasAuthorship W4287685972A5000595324 @default.
- W4287685972 hasBestOaLocation W42876859721 @default.
- W4287685972 hasConcept C114614502 @default.
- W4287685972 hasConcept C118615104 @default.
- W4287685972 hasConcept C132525143 @default.
- W4287685972 hasConcept C134306372 @default.
- W4287685972 hasConcept C156103551 @default.
- W4287685972 hasConcept C171250308 @default.
- W4287685972 hasConcept C192562407 @default.
- W4287685972 hasConcept C202444582 @default.
- W4287685972 hasConcept C2780009758 @default.
- W4287685972 hasConcept C2780012671 @default.
- W4287685972 hasConcept C2780069185 @default.
- W4287685972 hasConcept C2780841128 @default.
- W4287685972 hasConcept C33923547 @default.
- W4287685972 hasConcept C34388435 @default.
- W4287685972 hasConcept C41008148 @default.
- W4287685972 hasConcept C77088390 @default.
- W4287685972 hasConcept C80899671 @default.
- W4287685972 hasConceptScore W4287685972C114614502 @default.
- W4287685972 hasConceptScore W4287685972C118615104 @default.
- W4287685972 hasConceptScore W4287685972C132525143 @default.
- W4287685972 hasConceptScore W4287685972C134306372 @default.
- W4287685972 hasConceptScore W4287685972C156103551 @default.
- W4287685972 hasConceptScore W4287685972C171250308 @default.
- W4287685972 hasConceptScore W4287685972C192562407 @default.
- W4287685972 hasConceptScore W4287685972C202444582 @default.
- W4287685972 hasConceptScore W4287685972C2780009758 @default.
- W4287685972 hasConceptScore W4287685972C2780012671 @default.
- W4287685972 hasConceptScore W4287685972C2780069185 @default.
- W4287685972 hasConceptScore W4287685972C2780841128 @default.
- W4287685972 hasConceptScore W4287685972C33923547 @default.
- W4287685972 hasConceptScore W4287685972C34388435 @default.
- W4287685972 hasConceptScore W4287685972C41008148 @default.
- W4287685972 hasConceptScore W4287685972C77088390 @default.
- W4287685972 hasConceptScore W4287685972C80899671 @default.
- W4287685972 hasLocation W42876859721 @default.
- W4287685972 hasLocation W42876859722 @default.
- W4287685972 hasOpenAccess W4287685972 @default.
- W4287685972 hasPrimaryLocation W42876859721 @default.
- W4287685972 hasRelatedWork W1977719955 @default.
- W4287685972 hasRelatedWork W1985488429 @default.
- W4287685972 hasRelatedWork W2017331178 @default.
- W4287685972 hasRelatedWork W2052136967 @default.
- W4287685972 hasRelatedWork W2062762081 @default.
- W4287685972 hasRelatedWork W2374778222 @default.
- W4287685972 hasRelatedWork W2951223406 @default.
- W4287685972 hasRelatedWork W2964187826 @default.
- W4287685972 hasRelatedWork W2964341423 @default.
- W4287685972 hasRelatedWork W2980075598 @default.
- W4287685972 isParatext "false" @default.
- W4287685972 isRetracted "false" @default.
- W4287685972 workType "article" @default.