Tietze extension theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo closed subset
normal topological space
gptkbp:concerns continuous function
real-valued function
gptkbp:field gptkb:topology
https://www.w3.org/2000/01/rdf-schema#label Tietze extension theorem
gptkbp:namedAfter gptkb:Heinrich_Tietze
gptkbp:publicationYear 1915
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:sentence Every continuous function from a closed subset of a normal topological space to the real numbers can be extended to a continuous function on the whole space.
gptkbp:bfsParent gptkb:Heinrich_Tietze
gptkbp:bfsLayer 5