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- Cantor_algebra abstract "In mathematics, a Cantor algebra, named after Georg Cantor, is one of two closely related Boolean algebras, one countable and one complete.The countable Cantor algebra is the Boolean algebra of all clopen subsets of the Cantor set. This is the free Boolean algebra on a countable number of generators. Up to isomorphism, this is the only nontrivial Boolean algebra that is both countable and atomless.The complete Cantor algebra is the complete Boolean algebra of Borel subsets of the reals modulo meager sets (Balcar & Jech 2006). It is isomorphic to the completion of the countable Cantor algebra. (The complete Cantor algebra is sometimes called the Cohen algebra, though "Cohen algebra" usually refers to a different type of Boolean algebra.) The complete Cantor algebra was studied by von Neumann in 1935 (later published as (von Neumann 1998)), who showed that it is not isomorphic to the random algebra of Borel subsets modulo measure zero sets.".
- Cantor_algebra wikiPageExternalLink books?id=onE5HncE-HgC.
- Cantor_algebra wikiPageExternalLink 1202-toc.htm.
- Cantor_algebra wikiPageID "43215632".
- Cantor_algebra wikiPageLength "1966".
- Cantor_algebra wikiPageOutDegree "10".
- Cantor_algebra wikiPageRevisionID "615945837".
- Cantor_algebra wikiPageWikiLink Association_for_Symbolic_Logic.
- Cantor_algebra wikiPageWikiLink Borel_set.
- Cantor_algebra wikiPageWikiLink Borel_subset.
- Cantor_algebra wikiPageWikiLink Bulletin_of_Symbolic_Logic.
- Cantor_algebra wikiPageWikiLink Cantor_set.
- Cantor_algebra wikiPageWikiLink Category:Boolean_algebra.
- Cantor_algebra wikiPageWikiLink Category:Forcing_(mathematics).
- Cantor_algebra wikiPageWikiLink Cohen_algebra.
- Cantor_algebra wikiPageWikiLink Georg_Cantor.
- Cantor_algebra wikiPageWikiLink Meager_set.
- Cantor_algebra wikiPageWikiLink Meagre_set.
- Cantor_algebra wikiPageWikiLink Princeton_University_Press.
- Cantor_algebra wikiPageWikiLink Random_algebra.
- Cantor_algebra wikiPageWikiLinkText "Cantor algebra".
- Cantor_algebra hasPhotoCollection Cantor_algebra.
- Cantor_algebra wikiPageUsesTemplate Template:Citation.
- Cantor_algebra wikiPageUsesTemplate Template:For.
- Cantor_algebra wikiPageUsesTemplate Template:Harv.
- Cantor_algebra subject Category:Boolean_algebra.
- Cantor_algebra subject Category:Forcing_(mathematics).
- Cantor_algebra hypernym Algebra.
- Cantor_algebra comment "In mathematics, a Cantor algebra, named after Georg Cantor, is one of two closely related Boolean algebras, one countable and one complete.The countable Cantor algebra is the Boolean algebra of all clopen subsets of the Cantor set. This is the free Boolean algebra on a countable number of generators.".
- Cantor_algebra label "Cantor algebra".
- Cantor_algebra sameAs カントール代数.
- Cantor_algebra sameAs m.0113grwn.
- Cantor_algebra sameAs Q18386550.
- Cantor_algebra sameAs Q18386550.
- Cantor_algebra wasDerivedFrom Cantor_algebra?oldid=615945837.
- Cantor_algebra isPrimaryTopicOf Cantor_algebra.