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- Complete_Boolean_algebra abstract "In mathematics, a complete Boolean algebra is a Boolean algebra in which every subset has a supremum (least upper bound). Complete Boolean algebras are used to construct Boolean-valued models of set theory in the theory of forcing. Every Boolean algebra A has an essentially unique completion, which is a complete Boolean algebra containing A such that every element is the supremum of some subset of A. As a partially ordered set, this completion of A is the Dedekind-MacNeille completion.More generally, if κ is a cardinal then a Boolean algebra is called κ-complete if every subset of cardinality less than κ has a supremum.".
- Complete_Boolean_algebra wikiPageID "1839944".
- Complete_Boolean_algebra wikiPageRevisionID "544005066".
- Complete_Boolean_algebra first "D.A.".
- Complete_Boolean_algebra hasPhotoCollection Complete_Boolean_algebra.
- Complete_Boolean_algebra id "b/b016920".
- Complete_Boolean_algebra last "Vladimirov".
- Complete_Boolean_algebra title "Boolean algebra".
- Complete_Boolean_algebra subject Category:Boolean_algebra.
- Complete_Boolean_algebra subject Category:Forcing_(mathematics).
- Complete_Boolean_algebra subject Category:Order_theory.
- Complete_Boolean_algebra comment "In mathematics, a complete Boolean algebra is a Boolean algebra in which every subset has a supremum (least upper bound). Complete Boolean algebras are used to construct Boolean-valued models of set theory in the theory of forcing. Every Boolean algebra A has an essentially unique completion, which is a complete Boolean algebra containing A such that every element is the supremum of some subset of A.".
- Complete_Boolean_algebra label "Complete Boolean algebra".
- Complete_Boolean_algebra label "完全布尔代数".
- Complete_Boolean_algebra sameAs m.0600m_.
- Complete_Boolean_algebra sameAs Q5156447.
- Complete_Boolean_algebra sameAs Q5156447.
- Complete_Boolean_algebra wasDerivedFrom Complete_Boolean_algebra?oldid=544005066.
- Complete_Boolean_algebra isPrimaryTopicOf Complete_Boolean_algebra.