## ::Neighbourhood (mathematics)

### ::concepts

Point::topology Number::called Subset::space Points::right System::uniform Thumb::first

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In topology and related areas of mathematics, a **neighbourhood** (or **neighborhood**) is one of the basic concepts in a topological space. Intuitively speaking, a neighbourhood of a point is a set containing the point where one can move that point some amount without leaving the set.

This concept is closely related to the concepts of open set and interior.

**Neighbourhood (mathematics) sections**

Intro Definition In a metric space Examples Topology from neighbourhoods Uniform neighbourhoods Deleted neighbourhood See also References

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