bn:00128914n
Noun Concept
Categories: Topology stubs, Mathematical problems, Topology
EN
Kuratowski's closure-complement problem  Kuratowski's 14 set theorem  Kuratowski 14 set theorem  Kuratowski closure-complement problem  Kuratowski closure-complement theorem
EN
In point-set topology, Kuratowski's closure-complement problem asks for the largest number of distinct sets obtainable by repeatedly applying the set operations of closure and complement to a given starting subset of a topological space. Wikipedia
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EN
In point-set topology, Kuratowski's closure-complement problem asks for the largest number of distinct sets obtainable by repeatedly applying the set operations of closure and complement to a given starting subset of a topological space. Wikipedia
Theorem that the monoid generated by taking closures and complements of a given set in a topological space has size at most 14, attained by e.g. the set (0, 1) ∪ (1, 2) ∪ {3} ∪ ([4, 5] ∩ ℚ) of reals Wikidata