Definition:Semiregular Space

Definition
Let $T = \left({X, \vartheta}\right)$ be a topological space.

$\left({X, \vartheta}\right)$ is a semiregular space iff:
 * $\left({X, \vartheta}\right)$ is a Hausdorff ($T_2$) space
 * The regular open sets of $T$ form a basis for $T$.