Difference between revisions of "Closure (topology)"
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Revision as of 08:31, 14 October 2016
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
External links
- Closure (topology) @ Wikipedia