About: Cauchy-continuous function

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In mathematics, a Cauchy-continuous, or Cauchy-regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy-continuous functions have the useful property that they can always be (uniquely) extended to the Cauchy completion of their domain.

Attributes	Values
rdfs:label	Cauchy-continuous function (en) Fonction Cauchy-continue (fr)
rdfs:comment	In mathematics, a Cauchy-continuous, or Cauchy-regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy-continuous functions have the useful property that they can always be (uniquely) extended to the Cauchy completion of their domain. (en) En mathématiques et plus précisément en topologie, la continuité de Cauchy, pour une application entre espaces métriques (ou entre espaces plus généraux, comme des espaces uniformes), est une propriété plus faible que la continuité uniforme, mais suffisante pour assurer l'existence d'un prolongement continu de cette application au complété de l'espace de départ, dès que l'espace d'arrivée est complet. (fr)
dcterms:subject	Types of functions Topology
Wikipage page ID	15715699 (xsd:integer)
Wikipage revision ID	1054294006 (xsd:integer)
Link from a Wikipage to another Wikipage	Types of functions Uniform space Uniformly continuous function Complete space Continuous function Mathematics Function (mathematics) Totally bounded space Cauchy completion Topology Cauchy sequence Cauchy space Directed set Metric space Rational number Compact metric space Cauchy net Real line Filter (topology) Cauchy filter Net (topology) Subspace (topology)
sameAs	Cauchy-continuous function Cauchy-continuous function Cauchy-continuous function Cauchy-continuous function
dbp:wikiPageUsesTemplate	dbt:Annotated_link
has abstract	In mathematics, a Cauchy-continuous, or Cauchy-regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy-continuous functions have the useful property that they can always be (uniquely) extended to the Cauchy completion of their domain. (en) En mathématiques et plus précisément en topologie, la continuité de Cauchy, pour une application entre espaces métriques (ou entre espaces plus généraux, comme des espaces uniformes), est une propriété plus faible que la continuité uniforme, mais suffisante pour assurer l'existence d'un prolongement continu de cette application au complété de l'espace de départ, dès que l'espace d'arrivée est complet. (fr)
gold:hypernym	Kind
prov:wasDerivedFrom	wikipedia-en:Cauchy-continuous_function?oldid=1054294006&ns=0
page length (characters) of wiki page	4895 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Cauchy-continuous_function
is Link from a Wikipage to another Wikipage of	Cauchy-continuous Cauchy continuity Cauchy space Regular List of things named after Augustin-Louis Cauchy Uniform continuity Cauchy-continuous map Cauchy-regular Cauchy-regular function Cauchy-regular map Cauchy continuous Cauchy continuous function Cauchy continuous map Cauchy regular Cauchy regular function Cauchy regular map Cauchy regularity
is Wikipage redirect of	Cauchy-continuous Cauchy continuity Cauchy-continuous map Cauchy-regular Cauchy-regular function Cauchy-regular map Cauchy continuous Cauchy continuous function Cauchy continuous map Cauchy regular Cauchy regular function Cauchy regular map Cauchy regularity
is foaf:primaryTopic of	wikipedia-en:Cauchy-continuous_function

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