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.
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In topology, a preclosureoperator or Čech closure operator is a map between subsets of a set, similar to a topological closure operator, except that it...
conceptPages displaying wikidata descriptions as a fallback Preclosureoperator – Closure operator Diatta, Jean (2009-11-14). "On critical sets of a finite...
pretopological space can be defined in terms of either filters or a preclosureoperator. The similar, but more abstract, notion of a Grothendieck pretopology...
descriptions as a fallback Closure algebra – Algebraic structure Preclosureoperator – Closure operator Pretopological space – Generalized topological space Topological...
pseudosemimetric, i.e. a symmetric premetric. Any premetric gives rise to a preclosureoperator c l {\displaystyle cl} as follows: c l ( A ) = { x | d ( x , A )...
{scl} (\operatorname {scl} (S)).} That is, sequential closure is a preclosureoperator. Unlike topological closure, sequential closure is not idempotent:...
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