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Closure operator

From Encyclopedia of Mathematics
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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.

How to Cite This Entry:
Closure operator. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Closure_operator&oldid=36190