Definition:Interior (Topology)/Notation

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

Let $H \subseteq S$.

The interior of $H$ can be denoted:
 * $\map {\mathrm {Int} } H$
 * $H^\circ$

The first is regarded by some as cumbersome, but has the advantage of being clear.

$H^\circ$ is neat and compact, but has the disadvantage of being relatively obscure.

On, $H^\circ$ is the notation of choice.