Matches in SemOpenAlex for { <https://semopenalex.org/work/W1652893144> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W1652893144 endingPage "4" @default.
- W1652893144 startingPage "1" @default.
- W1652893144 abstract "From a real-valued function , unbounded on a totally bounded subset of a metric space, we construct a Cauchy sequence in on which is unbounded. Taking to be a reciprocal Lebesgue number function, for an open cover of , gives a rapid proof that is compact when it is complete, without recourse to sequential compactness or the Lebesgue covering lemma. Finally, we apply the same reasoning to another function to give sequential compactness. Keywords : Pseudometric space, Cauchy sequence, total boundedness, Lebesgue number, Lebesgue covering lemma." @default.
- W1652893144 created "2016-06-24" @default.
- W1652893144 creator A5058047488 @default.
- W1652893144 date "2012-01-01" @default.
- W1652893144 modified "2023-09-26" @default.
- W1652893144 title "A Note on Using Unbounded Functions on Totally Bounded Sets in the Context of the Lebesgue Covering Lemma" @default.
- W1652893144 hasPublicationYear "2012" @default.
- W1652893144 type Work @default.
- W1652893144 sameAs 1652893144 @default.
- W1652893144 citedByCount "0" @default.
- W1652893144 crossrefType "journal-article" @default.
- W1652893144 hasAuthorship W1652893144A5058047488 @default.
- W1652893144 hasConcept C100094221 @default.
- W1652893144 hasConcept C118615104 @default.
- W1652893144 hasConcept C132954091 @default.
- W1652893144 hasConcept C134306372 @default.
- W1652893144 hasConcept C14158598 @default.
- W1652893144 hasConcept C172294467 @default.
- W1652893144 hasConcept C18648836 @default.
- W1652893144 hasConcept C18903297 @default.
- W1652893144 hasConcept C191832335 @default.
- W1652893144 hasConcept C202444582 @default.
- W1652893144 hasConcept C2777759810 @default.
- W1652893144 hasConcept C2778112365 @default.
- W1652893144 hasConcept C33923547 @default.
- W1652893144 hasConcept C34388435 @default.
- W1652893144 hasConcept C41833934 @default.
- W1652893144 hasConcept C43323394 @default.
- W1652893144 hasConcept C43929395 @default.
- W1652893144 hasConcept C46757340 @default.
- W1652893144 hasConcept C54355233 @default.
- W1652893144 hasConcept C86803240 @default.
- W1652893144 hasConceptScore W1652893144C100094221 @default.
- W1652893144 hasConceptScore W1652893144C118615104 @default.
- W1652893144 hasConceptScore W1652893144C132954091 @default.
- W1652893144 hasConceptScore W1652893144C134306372 @default.
- W1652893144 hasConceptScore W1652893144C14158598 @default.
- W1652893144 hasConceptScore W1652893144C172294467 @default.
- W1652893144 hasConceptScore W1652893144C18648836 @default.
- W1652893144 hasConceptScore W1652893144C18903297 @default.
- W1652893144 hasConceptScore W1652893144C191832335 @default.
- W1652893144 hasConceptScore W1652893144C202444582 @default.
- W1652893144 hasConceptScore W1652893144C2777759810 @default.
- W1652893144 hasConceptScore W1652893144C2778112365 @default.
- W1652893144 hasConceptScore W1652893144C33923547 @default.
- W1652893144 hasConceptScore W1652893144C34388435 @default.
- W1652893144 hasConceptScore W1652893144C41833934 @default.
- W1652893144 hasConceptScore W1652893144C43323394 @default.
- W1652893144 hasConceptScore W1652893144C43929395 @default.
- W1652893144 hasConceptScore W1652893144C46757340 @default.
- W1652893144 hasConceptScore W1652893144C54355233 @default.
- W1652893144 hasConceptScore W1652893144C86803240 @default.
- W1652893144 hasIssue "1" @default.
- W1652893144 hasLocation W16528931441 @default.
- W1652893144 hasOpenAccess W1652893144 @default.
- W1652893144 hasPrimaryLocation W16528931441 @default.
- W1652893144 hasRelatedWork W1421053265 @default.
- W1652893144 hasRelatedWork W1540096993 @default.
- W1652893144 hasRelatedWork W1645953107 @default.
- W1652893144 hasRelatedWork W1990300638 @default.
- W1652893144 hasRelatedWork W2001325428 @default.
- W1652893144 hasRelatedWork W2005323075 @default.
- W1652893144 hasRelatedWork W2006440786 @default.
- W1652893144 hasRelatedWork W2136149899 @default.
- W1652893144 hasRelatedWork W2275334037 @default.
- W1652893144 hasRelatedWork W2490380057 @default.
- W1652893144 hasRelatedWork W2517793911 @default.
- W1652893144 hasRelatedWork W2560302798 @default.
- W1652893144 hasRelatedWork W2762369053 @default.
- W1652893144 hasRelatedWork W2775266012 @default.
- W1652893144 hasRelatedWork W2916806424 @default.
- W1652893144 hasRelatedWork W2963844233 @default.
- W1652893144 hasRelatedWork W3046916672 @default.
- W1652893144 hasRelatedWork W3122917160 @default.
- W1652893144 hasRelatedWork W94720122 @default.
- W1652893144 hasRelatedWork W167924971 @default.
- W1652893144 hasVolume "20" @default.
- W1652893144 isParatext "false" @default.
- W1652893144 isRetracted "false" @default.
- W1652893144 magId "1652893144" @default.
- W1652893144 workType "article" @default.