regular Hausdorff spaces

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:topology
gptkbp:alsoKnownAs T3 spaces
gptkbp:definedIn a topological space that is both regular and Hausdorff
gptkbp:hasProperty any two distinct points have disjoint neighborhoods
every closed set and point not in it can be separated by neighborhoods
https://www.w3.org/2000/01/rdf-schema#label regular Hausdorff spaces
gptkbp:implies Hausdorff space
regular space
gptkbp:isWeakerThan gptkb:Tychonoff_space
Hausdorff space
regular space
completely regular space
normal Hausdorff space
gptkbp:usedIn gptkb:topology
gptkb:general_topology
analysis
functional analysis
gptkbp:bfsParent gptkb:T3_separation_axiom
gptkbp:bfsLayer 8