Hausdorff property

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:topology
gptkbp:alsoKnownAs gptkb:T2_property
gptkbp:appliesTo gptkb:topology
gptkbp:definedIn for any two distinct points, there exist disjoint open neighborhoods containing each point
gptkbp:equivalentTo points are closed
https://www.w3.org/2000/01/rdf-schema#label Hausdorff property
gptkbp:implies uniqueness of limits
gptkbp:isNotPreservedBy infinite product
product (in general, but is preserved for finite products)
quotient
gptkbp:isWeakerThan gptkb:T1_property
normality
regularity
gptkbp:namedAfter gptkb:Felix_Hausdorff
gptkbp:preservedIn subspace
finite product
gptkbp:usedIn gptkb:algebraic_geometry
gptkb:topology
analysis
differential geometry
manifold theory
gptkbp:bfsParent gptkb:Topological_spaces
gptkbp:bfsLayer 6