Definition:Interior (Topology)/Notation
Jump to navigation
Jump to search
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 $\mathsf{Pr} \infty \mathsf{fWiki}$, $H^\circ$ is the notation of choice.
Sources
- 2013: Francis Clarke: Functional Analysis, Calculus of Variations and Optimal Control ... (previous) ... (next): $1.1$: Basic Definitions