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- Borel_hierarchy abstract "In mathematical logic, the Borel hierarchy is a stratification of the Borel algebra generated by the open subsets of a Polish space; elements of this algebra are called Borel sets. Each Borel set is assigned a unique countable ordinal number called the rank of the Borel set. The Borel hierarchy is of particular interest in descriptive set theory.One common use of the Borel hierarchy is to prove facts about the Borel sets using transfinite induction on rank. Properties of sets of small finite ranks are important in measure theory and analysis.".
- Borel_hierarchy wikiPageID "5539282".
- Borel_hierarchy wikiPageRevisionID "566200368".
- Borel_hierarchy hasPhotoCollection Borel_hierarchy.
- Borel_hierarchy subject Category:Descriptive_set_theory.
- Borel_hierarchy subject Category:Mathematical_logic_hierarchies.
- Borel_hierarchy type Abstraction100002137.
- Borel_hierarchy type Arrangement107938773.
- Borel_hierarchy type Group100031264.
- Borel_hierarchy type Hierarchy108377806.
- Borel_hierarchy type MathematicalLogicHierarchies.
- Borel_hierarchy type Ordering108456993.
- Borel_hierarchy type Series108457976.
- Borel_hierarchy comment "In mathematical logic, the Borel hierarchy is a stratification of the Borel algebra generated by the open subsets of a Polish space; elements of this algebra are called Borel sets. Each Borel set is assigned a unique countable ordinal number called the rank of the Borel set. The Borel hierarchy is of particular interest in descriptive set theory.One common use of the Borel hierarchy is to prove facts about the Borel sets using transfinite induction on rank.".
- Borel_hierarchy label "Borel hierarchy".
- Borel_hierarchy label "Borel-Hierarchie".
- Borel_hierarchy label "Hiérarchie de Borel".
- Borel_hierarchy sameAs Borel-Hierarchie.
- Borel_hierarchy sameAs Hiérarchie_de_Borel.
- Borel_hierarchy sameAs m.0drkl8.
- Borel_hierarchy sameAs Q893487.
- Borel_hierarchy sameAs Q893487.
- Borel_hierarchy sameAs Borel_hierarchy.
- Borel_hierarchy wasDerivedFrom Borel_hierarchy?oldid=566200368.
- Borel_hierarchy isPrimaryTopicOf Borel_hierarchy.