# Category:T5 Spaces

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This category contains results about $T_5$ spaces in the context of Topology.

$\struct {S, \tau}$ is a **$T_5$ space** if and only if:

- $\forall A, B \subseteq S, A^- \cap B = A \cap B^- = \O: \exists U, V \in \tau: A \subseteq U, B \subseteq V, U \cap V = \O$

That is:

- $\struct {S, \tau}$ is a
**$T_5$ space**when for any two separated sets $A, B \subseteq S$ there exist disjoint open sets $U, V \in \tau$ containing $A$ and $B$ respectively.

## Pages in category "T5 Spaces"

The following 25 pages are in this category, out of 25 total.