# Definition:Interior Point

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## Disambiguation

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**Interior Point** may refer to:

- Topology and metric spaces:
- An Interior point of a subset $H$ of a topological space: A point of the interior of $H$.
- An interior point of a subspace $H$ of a metric space: A point which has an open ball completely contained in $H$.
- An interior point of a subset $H$ of the complex plane $\C$: A complex number which has a neighborhood completely contained in $H$.

- Geometry:
- An interior point of a region is one of the points intuitively understood as being
*inside*the region.

- An interior point of a region is one of the points intuitively understood as being