Heine–Cantor theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo continuous functions
compact metric spaces
gptkbp:field mathematical analysis
https://www.w3.org/2000/01/rdf-schema#label Heine–Cantor theorem
gptkbp:implies uniform continuity
gptkbp:namedAfter gptkb:Georg_Cantor
gptkb:Eduard_Heine
gptkbp:publishedIn 19th century
gptkbp:relatedTo gptkb:topology
compactness
uniform continuity
gptkbp:sentence Every continuous function from a compact metric space to a metric space is uniformly continuous.
gptkbp:bfsParent gptkb:Heine's_theorem
gptkbp:bfsLayer 7