Closure (topology)

Closure (topology)

In mathematics, the closure of a subset S in a topological space consists of all points in S plus the limit points of S. Intuitively, these are all the points that are "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.

Read more about Closure (topology):  Examples, Closure Operator, Facts About Closures, Categorical Interpretation

Other articles related to "closure, topology":

Closure (topology) - Categorical Interpretation
... One may elegantly define the closureoperator in terms of universal arrows, as follows ... Furthermore, a topologyT on X is a subcategory of P with inclusion functor ... All properties of the closurecan be derived from this definition and a few properties of the above categories ...