# Neighbourhood (mathematics)

## Open set containing a given point / From Wikipedia, the free encyclopedia

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For the concept in graph theory, see Neighbourhood (graph theory).

In topology and related areas of mathematics, a **neighbourhood** (or **neighborhood**) is one of the basic concepts in a topological space. It is closely related to the concepts of open set and interior. Intuitively speaking, a neighbourhood of a point is a set of points containing that point where one can move some amount in any direction away from that point without leaving the set.