Hausdorff

Last updated Nov 1, 2022

Let $(X, \tau)$ be a Topological Space. Then $X$ is Hausdorff if for every $x, y \in X$ there exist $U, V \in \tau$ s.t. $x \in U$, $y \in V$, and $U \cap V = \emptyset$

Also known as a

• T2 Space
• Seperated Space

• Mutually Disjoint
• Empty Set
• Open