Neighbourhood (mathematics)

:See also the concepts of neighbor and neighborhood in graph theory.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

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 you can "wiggle" or "move" the point a bit without leaving the set.

Related Topics:
Topology - Mathematics - Topological space - Set

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

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

Related Topics:
Open set - Interior

~ ~ ~ ~ ~ ~ ~ ~ ~ ~