Closure (topology)

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In mathematics, the closure of a subset S in a topological space consists of all points in S plus the limit points of S.

The closure of S is also defined as the union of S and its boundary.

Description

Intuitively, these are all the points in S and "near" S. A point which is in the closure of S is a point of closure of S.

The notion of closure is in many ways dual to the notion of interior.

See also

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