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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 wikiPageLength "9200".
- Borel_hierarchy wikiPageOutDegree "27".
- Borel_hierarchy wikiPageRevisionID "607157672".
- Borel_hierarchy wikiPageWikiLink Alexander_S._Kechris.
- Borel_hierarchy wikiPageWikiLink Analytical_hierarchy.
- Borel_hierarchy wikiPageWikiLink Arithmetical_hierarchy.
- Borel_hierarchy wikiPageWikiLink Borel_set.
- Borel_hierarchy wikiPageWikiLink Category:Descriptive_set_theory.
- Borel_hierarchy wikiPageWikiLink Category:Mathematical_logic_hierarchies.
- Borel_hierarchy wikiPageWikiLink Computability_theory.
- Borel_hierarchy wikiPageWikiLink Countable_set.
- Borel_hierarchy wikiPageWikiLink Descriptive_set_theory.
- Borel_hierarchy wikiPageWikiLink Effective_Polish_space.
- Borel_hierarchy wikiPageWikiLink Effective_descriptive_set_theory.
- Borel_hierarchy wikiPageWikiLink Fσ_set.
- Borel_hierarchy wikiPageWikiLink Gδ_set.
- Borel_hierarchy wikiPageWikiLink Hyperarithmetical_theory.
- Borel_hierarchy wikiPageWikiLink Kleene–Brouwer_order.
- Borel_hierarchy wikiPageWikiLink Large_countable_ordinal.
- Borel_hierarchy wikiPageWikiLink Mathematical_analysis.
- Borel_hierarchy wikiPageWikiLink Mathematical_logic.
- Borel_hierarchy wikiPageWikiLink Measure_(mathematics).
- Borel_hierarchy wikiPageWikiLink Ordinal_number.
- Borel_hierarchy wikiPageWikiLink Polish_space.
- Borel_hierarchy wikiPageWikiLink Recursive_ordinal.
- Borel_hierarchy wikiPageWikiLink Recursively_enumerable_set.
- Borel_hierarchy wikiPageWikiLink Thomas_Jech.
- Borel_hierarchy wikiPageWikiLink Transfinite_induction.
- Borel_hierarchy wikiPageWikiLink Wadge_hierarchy.
- Borel_hierarchy wikiPageWikiLinkText "Borel hierarchy".
- Borel_hierarchy wikiPageWikiLinkText "Borel sets".
- Borel_hierarchy wikiPageWikiLinkText "borel hierarchy".
- Borel_hierarchy wikiPageWikiLinkText "fourth Borel set".
- Borel_hierarchy wikiPageUsesTemplate Template:Main.
- Borel_hierarchy subject Category:Descriptive_set_theory.
- Borel_hierarchy subject Category:Mathematical_logic_hierarchies.
- Borel_hierarchy hypernym Stratification.
- 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 sameAs Q893487.
- Borel_hierarchy sameAs Borel-Hierarchie.
- Borel_hierarchy sameAs Hiérarchie_de_Borel.
- Borel_hierarchy sameAs m.0drkl8.
- Borel_hierarchy sameAs Q893487.
- Borel_hierarchy wasDerivedFrom Borel_hierarchy?oldid=607157672.
- Borel_hierarchy isPrimaryTopicOf Borel_hierarchy.