KnowraSeparation axiomLinked fromLinked fromThe 6 pages that link to Separation axiom, each with the reason it gives.All 6Related 2Narrower topic 4Hausdorff spaceNarrower topic: The Hausdorff condition is the T₂ member of this hierarchy.Connected spaceRelated: Connectedness is a separation property, distinct from the point-separation conditions in this family.Sierpiński spaceNarrower topic: The space illustrates why distinct points need not have disjoint neighborhoods.Felix HausdorffNarrower topic: Hausdorff spaces are one level in the hierarchy of topological separation conditions.General topologyRelated: Separation axioms distinguish spaces whose open sets otherwise provide too little control.Zero-dimensional spaceNarrower topic: Many equivalences involving clopen bases require additional separation assumptions.