Definition:Separated Sets

Definition
Let $T = \struct {S, \tau}$ be a topological space.

Let $A, B \subseteq S$.

Definition 2
$A$ and $B$ are said to be separated sets (of $T$).

Also known as
When $A$ and $B$ are separated in $T$, they are said to separate $T$.

Also see

 * Equivalence of Definitions of Separated Sets