Closure operators

Preclosure operator

In topology, a preclosure operator, or Čech closure operator is a map between subsets of a set, similar to a topological closure operator, except that it is not required to be idempotent. That is, a preclosure operator obeys only three of the four Kuratowski closure axioms. (Wikipedia).

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Related pages

Kuratowski closure axioms | Sequential space | Sequential closure operator | Topology | Power set | Closure operator | Pretopological space