Kuratowski closure axioms
In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms that can be used to define a topological structure on a set. They are equivalent to the more commonly used open set definition. They were first formalized by Kazimierz Kuratowski, and the idea was further studied by mathematicians such as Wacław Sierpiński and António Monteiro, among others.

A similar set of axioms can be used to define a topological structure using only the dual notion of interior operator.
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topology
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mathematics
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axiom
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topological structure
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set
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open set
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Kazimierz Kuratowski
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Wacław Sierpiński
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António Monteiro
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interior operator
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Kuratowski closure axioms
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studies
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