Hausdorff Topologies
Definition
A topological space is said to be HausdorffSynonyms
Hausdorff
Hausdorffness
Synonyms
T2
T2 axiom
T2 condition
nb. Apparently in German ‘Haus’ can be translated as ‘house’ and ‘dorf’ can be translated as village.
As a nice coincidence, the Hausdorff condition can be roughly read as “every house (point) has its own village (open set)!"
Properties
Stronger than (i.e., implies) the T1 condition.