Interior (Topology)/Examples

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Examples of Interiors in the context of Topology

Closed Real Interval in Closed Unbounded Real Interval

Let $\R$ be the real number line under the usual (Euclidean) metric.

Let $M$ be the subspace of $\R$ defined as:

$M = \hointl \gets b$

Let $S$ be the closed real interval defined as:

$S = \closedint a b$

Then the interior of $S$ in $M$ is given by:

$S^\circ = \hointl a b$