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- Difference_hierarchy abstract "In set theory, the difference hierarchy over a pointclass is a hierarchy of larger pointclassesgenerated by taking differences of sets. If Γ is a pointclass, then the set of differences in Γ is . In usual notation, this set is denoted by 2-Γ. The next level of the hierarchy is denoted by 3-Γ and consists of differences of three sets:. This definition can be extended recursively into the transfinite to α-Γ for some ordinal α.In the Borel and projective hierarchies, Felix Hausdorff proved that the countable levels of the difference hierarchy over Π0γ and Π1γ giveΔ0γ+1 and Δ1γ+1, respectively.".
- Difference_hierarchy wikiPageID "3893531".
- Difference_hierarchy wikiPageRevisionID "430145052".
- Difference_hierarchy hasPhotoCollection Difference_hierarchy.
- Difference_hierarchy subject Category:Descriptive_set_theory.
- Difference_hierarchy subject Category:Mathematical_logic_hierarchies.
- Difference_hierarchy type Abstraction100002137.
- Difference_hierarchy type Arrangement107938773.
- Difference_hierarchy type Group100031264.
- Difference_hierarchy type Hierarchy108377806.
- Difference_hierarchy type MathematicalLogicHierarchies.
- Difference_hierarchy type Ordering108456993.
- Difference_hierarchy type Series108457976.
- Difference_hierarchy comment "In set theory, the difference hierarchy over a pointclass is a hierarchy of larger pointclassesgenerated by taking differences of sets. If Γ is a pointclass, then the set of differences in Γ is . In usual notation, this set is denoted by 2-Γ. The next level of the hierarchy is denoted by 3-Γ and consists of differences of three sets:.".
- Difference_hierarchy label "Difference hierarchy".
- Difference_hierarchy sameAs m.0b5hcb.
- Difference_hierarchy sameAs Q5275274.
- Difference_hierarchy sameAs Q5275274.
- Difference_hierarchy sameAs Difference_hierarchy.
- Difference_hierarchy wasDerivedFrom Difference_hierarchy?oldid=430145052.
- Difference_hierarchy isPrimaryTopicOf Difference_hierarchy.