Hausdorff implies T1

From Topospaces
Jump to: navigation, search
This article gives the statement and possibly, proof, of an implication relation between two topological space properties. That is, it states that every topological space satisfying the first topological space property (i.e., Hausdorff space) must also satisfy the second topological space property (i.e., T1 space)
View all topological space property implications | View all topological space property non-implications
Get more facts about Hausdorff space|Get more facts about T1 space

Statement

Any Hausdorff space is a T1 space.

Related facts

Proof

The proof is direct from the definitions.