In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms which 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 introduced by Kazimierz Kuratowski, in a slightly different form that applied only to Hausdorff spaces. A similar set of axioms can be used to define a topological structure using only the dual notion of interior operator.

PropertyValue
dbpprop:abstract
  • In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms which 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 introduced by Kazimierz Kuratowski, in a slightly different form that applied only to Hausdorff spaces. A similar set of axioms can be used to define a topological structure using only the dual notion of interior operator.
  • 庫拉托夫斯基閉包公理可來定義一個集上的拓樸結構，它和以開集作定義拓樸結構的公理等價。
dbpprop:hasPhotoCollection
rdf:type
rdfs:comment
  • In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms which 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 introduced by Kazimierz Kuratowski, in a slightly different form that applied only to Hausdorff spaces. A similar set of axioms can be used to define a topological structure using only the dual notion of interior operator.
  • 庫拉托夫斯基閉包公理可來定義一個集上的拓樸結構，它和以開集作定義拓樸結構的公理等價。
rdfs:label
  • Kuratowski closure axioms
  • 庫拉托夫斯基閉包公理
owl:sameAs
skos:subject
foaf:page
is dbpprop:disambiguates of
is dbpprop:redirect of
is owl:sameAs of