Topological Closure

The closure of a set A is the smallest closed set containing A. Closed sets are closed under arbitrary intersection, so it is also the intersection of all closed sets containing A. Typically, it is just A with all of its accumulation points.

See also

Closed Set, Sequence, Set Closure, Topology

This entry contributed by Todd Rowland

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Cite this as:

Rowland, Todd. "Topological Closure." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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