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An idempotent operation on a partially ordered set, see [[Closure relation]].  

In particular, a [[Kuratowski closure operator]] defining a topological space, or Čech closure operator operator defining a pre-topological space, see [[Closure space]].

See also [[Closed operator]], a linear operator on a Banach space that preserves convergence.

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How to Cite This Entry:
Closure operator. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Closure_operator&oldid=51436

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