Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952013361> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2952013361 abstract "In 1934, Whitney raised the question of how to recognize whether a function f defined on a closed subset X of Euclidean space is the restriction of a function that is continuously differentiable to order p. A necessary and sufficient criterion was given in the case n=1 by Whitney, using limits of finite differences, and in the case p=1 by Glaeser (1958), using limits of secants. We introduce a necessary geometric criterion, for general n and p, involving limits of finite differences, that we conjecture is sufficient at least if X has a tame topology. We prove that, if X is a compact subanalytic set, then there exists q=q(p) such that the criterion of order q implies that f is p times continuously differentiable. The result gives a new approach to higher-order tangent bundles (or bundles of differentiable operators) on singular spaces." @default.
- W2952013361 created "2019-06-27" @default.
- W2952013361 creator A5027157215 @default.
- W2952013361 creator A5031178299 @default.
- W2952013361 creator A5035871096 @default.
- W2952013361 date "2001-11-20" @default.
- W2952013361 modified "2023-09-27" @default.
- W2952013361 title "Differentiable functions defined in closed sets. A problem of Whitney" @default.
- W2952013361 cites W2162052349 @default.
- W2952013361 hasPublicationYear "2001" @default.
- W2952013361 type Work @default.
- W2952013361 sameAs 2952013361 @default.
- W2952013361 citedByCount "0" @default.
- W2952013361 crossrefType "posted-content" @default.
- W2952013361 hasAuthorship W2952013361A5027157215 @default.
- W2952013361 hasAuthorship W2952013361A5031178299 @default.
- W2952013361 hasAuthorship W2952013361A5035871096 @default.
- W2952013361 hasConcept C10138342 @default.
- W2952013361 hasConcept C111919701 @default.
- W2952013361 hasConcept C114614502 @default.
- W2952013361 hasConcept C118615104 @default.
- W2952013361 hasConcept C129782007 @default.
- W2952013361 hasConcept C134306372 @default.
- W2952013361 hasConcept C138187205 @default.
- W2952013361 hasConcept C14036430 @default.
- W2952013361 hasConcept C162324750 @default.
- W2952013361 hasConcept C162392398 @default.
- W2952013361 hasConcept C182306322 @default.
- W2952013361 hasConcept C186450821 @default.
- W2952013361 hasConcept C202444582 @default.
- W2952013361 hasConcept C202615002 @default.
- W2952013361 hasConcept C2524010 @default.
- W2952013361 hasConcept C2778572836 @default.
- W2952013361 hasConcept C2780990831 @default.
- W2952013361 hasConcept C33923547 @default.
- W2952013361 hasConcept C41008148 @default.
- W2952013361 hasConcept C42357961 @default.
- W2952013361 hasConcept C78458016 @default.
- W2952013361 hasConcept C86803240 @default.
- W2952013361 hasConceptScore W2952013361C10138342 @default.
- W2952013361 hasConceptScore W2952013361C111919701 @default.
- W2952013361 hasConceptScore W2952013361C114614502 @default.
- W2952013361 hasConceptScore W2952013361C118615104 @default.
- W2952013361 hasConceptScore W2952013361C129782007 @default.
- W2952013361 hasConceptScore W2952013361C134306372 @default.
- W2952013361 hasConceptScore W2952013361C138187205 @default.
- W2952013361 hasConceptScore W2952013361C14036430 @default.
- W2952013361 hasConceptScore W2952013361C162324750 @default.
- W2952013361 hasConceptScore W2952013361C162392398 @default.
- W2952013361 hasConceptScore W2952013361C182306322 @default.
- W2952013361 hasConceptScore W2952013361C186450821 @default.
- W2952013361 hasConceptScore W2952013361C202444582 @default.
- W2952013361 hasConceptScore W2952013361C202615002 @default.
- W2952013361 hasConceptScore W2952013361C2524010 @default.
- W2952013361 hasConceptScore W2952013361C2778572836 @default.
- W2952013361 hasConceptScore W2952013361C2780990831 @default.
- W2952013361 hasConceptScore W2952013361C33923547 @default.
- W2952013361 hasConceptScore W2952013361C41008148 @default.
- W2952013361 hasConceptScore W2952013361C42357961 @default.
- W2952013361 hasConceptScore W2952013361C78458016 @default.
- W2952013361 hasConceptScore W2952013361C86803240 @default.
- W2952013361 hasLocation W29520133611 @default.
- W2952013361 hasOpenAccess W2952013361 @default.
- W2952013361 hasPrimaryLocation W29520133611 @default.
- W2952013361 hasRelatedWork W1964689414 @default.
- W2952013361 hasRelatedWork W1997105460 @default.
- W2952013361 hasRelatedWork W2001325428 @default.
- W2952013361 hasRelatedWork W2025886717 @default.
- W2952013361 hasRelatedWork W2029370004 @default.
- W2952013361 hasRelatedWork W2036636158 @default.
- W2952013361 hasRelatedWork W2050437934 @default.
- W2952013361 hasRelatedWork W2059251536 @default.
- W2952013361 hasRelatedWork W2063583474 @default.
- W2952013361 hasRelatedWork W2082983035 @default.
- W2952013361 hasRelatedWork W2131667508 @default.
- W2952013361 hasRelatedWork W2331733961 @default.
- W2952013361 hasRelatedWork W2366527126 @default.
- W2952013361 hasRelatedWork W2499976495 @default.
- W2952013361 hasRelatedWork W2773161445 @default.
- W2952013361 hasRelatedWork W2809993720 @default.
- W2952013361 hasRelatedWork W2949763951 @default.
- W2952013361 hasRelatedWork W2953254266 @default.
- W2952013361 hasRelatedWork W3047515386 @default.
- W2952013361 hasRelatedWork W586577247 @default.
- W2952013361 isParatext "false" @default.
- W2952013361 isRetracted "false" @default.
- W2952013361 magId "2952013361" @default.
- W2952013361 workType "article" @default.