FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2105019535> ?p ?o ?g. }

• W2105019535 abstract "We study two questions posed by Johnson, Lindenstrauss, Preiss, and Schecht- man, concerning the structure of level sets of uniform and Lipschitz quotient mappings from R n → R. We show that if f : R n −→ R, n ≥ 2, is a uniform quotient mapping then for every t ∈ R, f 1 (t) has a bounded number of components, each component of f 1 (t) separates R n and the upper bound of the number of components depends only on n and the moduli of co-uniform and uniform continuity of f. Next we obtain a characterization of the form of any closed, hereditarily locally connected, locally compact, connected set with no end points and containing no simple closed curve, and we apply it to describe the structure of level sets of co-Lipschitz uniformly continuous mappings f : R 2 −→ R. We prove that all level sets of any co-Lipschitz uniformly continuous mapping from R 2 to R are locally connected, and we show that for every pair of a constant c > 0 and a function (� ) with limr!0 (r) = 0, there exists a natural number M = M(c,), so that for every co-Lipschitz uniformly continuous map f : R 2 −→ R with a co-Lipschitz constant c and a modulus of uniform continuity , there exists a natural number n(f) ≤ M and a finite set Tf ⊂ R with card(Tf) ≤ n(f)−1 so that for all t ∈ RTf, f 1 (t) has exactly n(f) components, R 2 f 1 (t) has exactly n(f)+1 components and each component of f 1 (t) is homeomorphic with the real line and separates the plane into exactly 2 components. The number and form of components of f 1 (s) for s ∈ Tf are also described - they have a finite graph structure. We give an example of a uniform quotient map from R 2 to R which has non-locally connected level sets." @default.
• W2105019535 created "2016-06-24" @default.
• W2105019535 creator A5024100759 @default.
• W2105019535 date "2003-01-01" @default.
• W2105019535 modified "2023-09-23" @default.
• W2105019535 title "ON THE STRUCTURE OF LEVEL SETS OF UNIFORM AND LIPSCHITZ QUOTIENT MAPPINGS FROM R n TO R" @default.
• W2105019535 cites W1517662484 @default.
• W2105019535 cites W1518486998 @default.
• W2105019535 cites W1523918473 @default.
• W2105019535 cites W1564366587 @default.
• W2105019535 cites W1567276813 @default.
• W2105019535 cites W1965350793 @default.
• W2105019535 cites W1996595075 @default.
• W2105019535 cites W2022216023 @default.
• W2105019535 cites W2032224789 @default.
• W2105019535 cites W2042395626 @default.
• W2105019535 cites W2049388783 @default.
• W2105019535 cites W2075262473 @default.
• W2105019535 cites W2102488782 @default.
• W2105019535 cites W2166092110 @default.
• W2105019535 cites W2484946296 @default.
• W2105019535 hasPublicationYear "2003" @default.
• W2105019535 type Work @default.
• W2105019535 sameAs 2105019535 @default.
• W2105019535 citedByCount "3" @default.
• W2105019535 crossrefType "journal-article" @default.
• W2105019535 hasAuthorship W2105019535A5024100759 @default.
• W2105019535 hasConcept C114614502 @default.
• W2105019535 hasConcept C118615104 @default.
• W2105019535 hasConcept C121089165 @default.
• W2105019535 hasConcept C121332964 @default.
• W2105019535 hasConcept C129301229 @default.
• W2105019535 hasConcept C134306372 @default.
• W2105019535 hasConcept C13474197 @default.
• W2105019535 hasConcept C14036430 @default.
• W2105019535 hasConcept C184264201 @default.
• W2105019535 hasConcept C18903297 @default.
• W2105019535 hasConcept C198043062 @default.
• W2105019535 hasConcept C199360897 @default.
• W2105019535 hasConcept C199422724 @default.
• W2105019535 hasConcept C22324862 @default.
• W2105019535 hasConcept C2777027219 @default.
• W2105019535 hasConcept C2777299769 @default.
• W2105019535 hasConcept C3098717 @default.
• W2105019535 hasConcept C33923547 @default.
• W2105019535 hasConcept C34388435 @default.
• W2105019535 hasConcept C41008148 @default.
• W2105019535 hasConcept C62520636 @default.
• W2105019535 hasConcept C78458016 @default.
• W2105019535 hasConcept C86803240 @default.
• W2105019535 hasConcept C90377204 @default.
• W2105019535 hasConceptScore W2105019535C114614502 @default.
• W2105019535 hasConceptScore W2105019535C118615104 @default.
• W2105019535 hasConceptScore W2105019535C121089165 @default.
• W2105019535 hasConceptScore W2105019535C121332964 @default.
• W2105019535 hasConceptScore W2105019535C129301229 @default.
• W2105019535 hasConceptScore W2105019535C134306372 @default.
• W2105019535 hasConceptScore W2105019535C13474197 @default.
• W2105019535 hasConceptScore W2105019535C14036430 @default.
• W2105019535 hasConceptScore W2105019535C184264201 @default.
• W2105019535 hasConceptScore W2105019535C18903297 @default.
• W2105019535 hasConceptScore W2105019535C198043062 @default.
• W2105019535 hasConceptScore W2105019535C199360897 @default.
• W2105019535 hasConceptScore W2105019535C199422724 @default.
• W2105019535 hasConceptScore W2105019535C22324862 @default.
• W2105019535 hasConceptScore W2105019535C2777027219 @default.
• W2105019535 hasConceptScore W2105019535C2777299769 @default.
• W2105019535 hasConceptScore W2105019535C3098717 @default.
• W2105019535 hasConceptScore W2105019535C33923547 @default.
• W2105019535 hasConceptScore W2105019535C34388435 @default.
• W2105019535 hasConceptScore W2105019535C41008148 @default.
• W2105019535 hasConceptScore W2105019535C62520636 @default.
• W2105019535 hasConceptScore W2105019535C78458016 @default.
• W2105019535 hasConceptScore W2105019535C86803240 @default.
• W2105019535 hasConceptScore W2105019535C90377204 @default.
• W2105019535 hasLocation W21050195351 @default.
• W2105019535 hasOpenAccess W2105019535 @default.
• W2105019535 hasPrimaryLocation W21050195351 @default.
• W2105019535 hasRelatedWork W146524193 @default.
• W2105019535 hasRelatedWork W1505849144 @default.
• W2105019535 hasRelatedWork W1970364676 @default.
• W2105019535 hasRelatedWork W1971889748 @default.
• W2105019535 hasRelatedWork W1973478971 @default.
• W2105019535 hasRelatedWork W1980757104 @default.
• W2105019535 hasRelatedWork W1981830445 @default.
• W2105019535 hasRelatedWork W1993698291 @default.
• W2105019535 hasRelatedWork W2030550799 @default.
• W2105019535 hasRelatedWork W2036404448 @default.
• W2105019535 hasRelatedWork W2054796891 @default.
• W2105019535 hasRelatedWork W2088153878 @default.
• W2105019535 hasRelatedWork W2094457868 @default.
• W2105019535 hasRelatedWork W2139777401 @default.
• W2105019535 hasRelatedWork W2224809890 @default.
• W2105019535 hasRelatedWork W2263839075 @default.
• W2105019535 hasRelatedWork W2304923898 @default.
• W2105019535 hasRelatedWork W2790562985 @default.
• W2105019535 hasRelatedWork W2949577093 @default.
• W2105019535 hasRelatedWork W3174427605 @default.
• W2105019535 isParatext "false" @default.
• W2105019535 isRetracted "false" @default.

• next