Matches in SemOpenAlex for { <https://semopenalex.org/work/W2030870053> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2030870053 abstract "The problem of finding an axiomatic characterisation of dimension was first tackled by Menger, who gave a set of five independent axioms characterising the dimension (in the sense of dim, ind, or Ind since they are all equal on separable metric spaces) of subsets of the plane [7, p. 156]. The question of whether Menger's axioms characterise the dimension of more general spaces is still unsettled. Recently, Nishiura “11” obtained a set of seven independent axioms characterising the dimension of separable metric spaces. By modifying one of Nishiura's axioms, Aarts [1] then obtained an axiomatic characterisation of the strong inductive dimension (Ind) of metric spaces. Also, Scepin [12] and Lokucievskiĭ [9] have obtained different axioms for dim on the class of compact metric and compact spaces, respectively. We present here four sets of independent axioms that characterise the dimension function u -dim, which is defined on the class of all uniform spaces." @default.
- W2030870053 created "2016-06-24" @default.
- W2030870053 creator A5006473340 @default.
- W2030870053 date "1976-06-01" @default.
- W2030870053 modified "2023-09-26" @default.
- W2030870053 title "Axiomatic characterisations of dimension" @default.
- W2030870053 cites W1598063309 @default.
- W2030870053 cites W2010140038 @default.
- W2030870053 cites W4253175402 @default.
- W2030870053 cites W955608960 @default.
- W2030870053 doi "https://doi.org/10.1112/s0025579300006173" @default.
- W2030870053 hasPublicationYear "1976" @default.
- W2030870053 type Work @default.
- W2030870053 sameAs 2030870053 @default.
- W2030870053 citedByCount "1" @default.
- W2030870053 crossrefType "journal-article" @default.
- W2030870053 hasAuthorship W2030870053A5006473340 @default.
- W2030870053 hasConcept C101597101 @default.
- W2030870053 hasConcept C118615104 @default.
- W2030870053 hasConcept C125773388 @default.
- W2030870053 hasConcept C134306372 @default.
- W2030870053 hasConcept C154945302 @default.
- W2030870053 hasConcept C162324750 @default.
- W2030870053 hasConcept C167729594 @default.
- W2030870053 hasConcept C171250308 @default.
- W2030870053 hasConcept C176217482 @default.
- W2030870053 hasConcept C192562407 @default.
- W2030870053 hasConcept C194198291 @default.
- W2030870053 hasConcept C198043062 @default.
- W2030870053 hasConcept C202444582 @default.
- W2030870053 hasConcept C21547014 @default.
- W2030870053 hasConcept C2524010 @default.
- W2030870053 hasConcept C26546657 @default.
- W2030870053 hasConcept C2777212361 @default.
- W2030870053 hasConcept C2780841128 @default.
- W2030870053 hasConcept C28235433 @default.
- W2030870053 hasConcept C33676613 @default.
- W2030870053 hasConcept C33923547 @default.
- W2030870053 hasConcept C40636538 @default.
- W2030870053 hasConcept C41008148 @default.
- W2030870053 hasConcept C66844729 @default.
- W2030870053 hasConcept C70710897 @default.
- W2030870053 hasConceptScore W2030870053C101597101 @default.
- W2030870053 hasConceptScore W2030870053C118615104 @default.
- W2030870053 hasConceptScore W2030870053C125773388 @default.
- W2030870053 hasConceptScore W2030870053C134306372 @default.
- W2030870053 hasConceptScore W2030870053C154945302 @default.
- W2030870053 hasConceptScore W2030870053C162324750 @default.
- W2030870053 hasConceptScore W2030870053C167729594 @default.
- W2030870053 hasConceptScore W2030870053C171250308 @default.
- W2030870053 hasConceptScore W2030870053C176217482 @default.
- W2030870053 hasConceptScore W2030870053C192562407 @default.
- W2030870053 hasConceptScore W2030870053C194198291 @default.
- W2030870053 hasConceptScore W2030870053C198043062 @default.
- W2030870053 hasConceptScore W2030870053C202444582 @default.
- W2030870053 hasConceptScore W2030870053C21547014 @default.
- W2030870053 hasConceptScore W2030870053C2524010 @default.
- W2030870053 hasConceptScore W2030870053C26546657 @default.
- W2030870053 hasConceptScore W2030870053C2777212361 @default.
- W2030870053 hasConceptScore W2030870053C2780841128 @default.
- W2030870053 hasConceptScore W2030870053C28235433 @default.
- W2030870053 hasConceptScore W2030870053C33676613 @default.
- W2030870053 hasConceptScore W2030870053C33923547 @default.
- W2030870053 hasConceptScore W2030870053C40636538 @default.
- W2030870053 hasConceptScore W2030870053C41008148 @default.
- W2030870053 hasConceptScore W2030870053C66844729 @default.
- W2030870053 hasConceptScore W2030870053C70710897 @default.
- W2030870053 hasLocation W20308700531 @default.
- W2030870053 hasOpenAccess W2030870053 @default.
- W2030870053 hasPrimaryLocation W20308700531 @default.
- W2030870053 hasRelatedWork W170496760 @default.
- W2030870053 hasRelatedWork W1968562446 @default.
- W2030870053 hasRelatedWork W1987645021 @default.
- W2030870053 hasRelatedWork W2020576992 @default.
- W2030870053 hasRelatedWork W2034932947 @default.
- W2030870053 hasRelatedWork W2036672053 @default.
- W2030870053 hasRelatedWork W2050632614 @default.
- W2030870053 hasRelatedWork W2056790593 @default.
- W2030870053 hasRelatedWork W2081489304 @default.
- W2030870053 hasRelatedWork W2287632633 @default.
- W2030870053 hasRelatedWork W2483599184 @default.
- W2030870053 hasRelatedWork W2799595941 @default.
- W2030870053 hasRelatedWork W2897627243 @default.
- W2030870053 hasRelatedWork W2949601802 @default.
- W2030870053 hasRelatedWork W3023422507 @default.
- W2030870053 hasRelatedWork W3046402304 @default.
- W2030870053 hasRelatedWork W3105159506 @default.
- W2030870053 hasRelatedWork W596854725 @default.
- W2030870053 hasRelatedWork W2505114199 @default.
- W2030870053 hasRelatedWork W31141747 @default.
- W2030870053 isParatext "false" @default.
- W2030870053 isRetracted "false" @default.
- W2030870053 magId "2030870053" @default.
- W2030870053 workType "article" @default.