KnowraNormal spaceLinked fromLinked fromThe 8 pages that link to Normal space, each with the reason it gives.All 8Broader topic 1Related 5Narrower topic 1Compared with 1Tangent spaceCompared with: It captures directions transverse to the manifold rather than directions along it.Hausdorff spaceRelated: Normality separates entire closed sets, rather than only pairs of points.Separation axiomBroader topic: Normality requires separation of the largest kinds of sets in this hierarchy.Urysohn's lemmaNarrower topic: This separation property supplies the open sets used to build the function.Tietze extension theoremRelated: Normality enables the separating functions on which the extension argument depends.Urysohn's metrization theoremRelated: Regularity and second countability together imply normality, a useful intermediate property.Lindelöf's lemmaRelated: Every regular Lindelöf space is normal, a consequence often paired with this lemma.Mary Ellen RudinRelated: Normality is central to the separation properties examined in her work.