Category:Definitions/Set Interiors

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This category contains definitions related to Set Interiors in the context of Topology.
Related results can be found in Category:Set Interiors.

The interior of $H$ is the union of all subsets of $H$ which are open in $T$.

That is, the interior of $H$ is defined as:

$\ds H^\circ := \bigcup_{K \mathop \in \mathbb K} K$

where $\mathbb K = \set {K \in \tau: K \subseteq H}$.