Definition:Semiregular Space

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

$\struct {S, \tau}$ is a semiregular space :
 * $\struct {S, \tau}$ is a Hausdorff ($T_2$) space
 * The regular open sets of $T$ form a basis for $T$.

Also see

 * Definition:Separation Axioms