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- Continuous_geometry abstract "In mathematics, continuous geometry is an analogue of complex projective geometry introduced by von Neumann (1936, 1998), where instead of the dimension of a subspace being in a discrete set 0, 1, ..., n, it can be an element of the unit interval [0,1]. Neumann was motivated by his discovery of von Neumann algebras with a dimension function taking a continuous range of dimensions, and the first example of a continuous geometry other than projective space was the projections of the hyperfinite type II factor.".
- Continuous_geometry wikiPageExternalLink books?id=HOTXAAAAMAAJ.
- Continuous_geometry wikiPageExternalLink books?id=p54EAQAAIAAJ.
- Continuous_geometry wikiPageExternalLink books?id=ZPkVGr8NXugC.
- Continuous_geometry wikiPageExternalLink books?id=o4bu3ex9BdkC.
- Continuous_geometry wikiPageExternalLink books?id=onE5HncE-HgC.
- Continuous_geometry wikiPageExternalLink CMB-1960-034-5.
- Continuous_geometry wikiPageID "32590824".
- Continuous_geometry wikiPageLength "10628".
- Continuous_geometry wikiPageOutDegree "26".
- Continuous_geometry wikiPageRevisionID "702829012".
- Continuous_geometry wikiPageWikiLink American_Mathematical_Society.
- Continuous_geometry wikiPageWikiLink Annals_of_Mathematics.
- Continuous_geometry wikiPageWikiLink Canadian_Mathematical_Bulletin.
- Continuous_geometry wikiPageWikiLink Category:Lattice_theory.
- Continuous_geometry wikiPageWikiLink Category:Projective_geometry.
- Continuous_geometry wikiPageWikiLink Category:Von_Neumann_algebras.
- Continuous_geometry wikiPageWikiLink Complemented_lattice.
- Continuous_geometry wikiPageWikiLink Complete_lattice.
- Continuous_geometry wikiPageWikiLink Direct_limit.
- Continuous_geometry wikiPageWikiLink Directed_set.
- Continuous_geometry wikiPageWikiLink Division_ring.
- Continuous_geometry wikiPageWikiLink Dyadic_rational.
- Continuous_geometry wikiPageWikiLink Equivalence_relation.
- Continuous_geometry wikiPageWikiLink Field_(mathematics).
- Continuous_geometry wikiPageWikiLink Hyperfinite_type_II_factor.
- Continuous_geometry wikiPageWikiLink Isomorph.
- Continuous_geometry wikiPageWikiLink Lattice_(order).
- Continuous_geometry wikiPageWikiLink Modular_lattice.
- Continuous_geometry wikiPageWikiLink Princeton_University_Press.
- Continuous_geometry wikiPageWikiLink Principal_ideal_ring.
- Continuous_geometry wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Continuous_geometry wikiPageWikiLink Projective_geometry.
- Continuous_geometry wikiPageWikiLink Rank_ring.
- Continuous_geometry wikiPageWikiLink Veblen–Young_theorem.
- Continuous_geometry wikiPageWikiLink Von_Neumann_algebra.
- Continuous_geometry wikiPageWikiLink Von_Neumann_regular_ring.
- Continuous_geometry wikiPageWikiLinkText "Continuous geometry".
- Continuous_geometry wikiPageWikiLinkText "continuous geometries".
- Continuous_geometry wikiPageWikiLinkText "continuous geometry".
- Continuous_geometry authorlink "John von Neumann".
- Continuous_geometry first "T.S.".
- Continuous_geometry id "o/o070450".
- Continuous_geometry last "Fofanova".
- Continuous_geometry last "von Neumann".
- Continuous_geometry title "Orthomodular lattice".
- Continuous_geometry wikiPageUsesTemplate Template:Citation.
- Continuous_geometry wikiPageUsesTemplate Template:Definition.
- Continuous_geometry wikiPageUsesTemplate Template:Eom.
- Continuous_geometry wikiPageUsesTemplate Template:Harv.
- Continuous_geometry wikiPageUsesTemplate Template:Harvs.
- Continuous_geometry wikiPageUsesTemplate Template:Harvtxt.
- Continuous_geometry year "1936".
- Continuous_geometry year "1998".
- Continuous_geometry subject Category:Lattice_theory.
- Continuous_geometry subject Category:Projective_geometry.
- Continuous_geometry subject Category:Von_Neumann_algebras.
- Continuous_geometry hypernym Analogue.
- Continuous_geometry type Drug.
- Continuous_geometry type Algebra.
- Continuous_geometry comment "In mathematics, continuous geometry is an analogue of complex projective geometry introduced by von Neumann (1936, 1998), where instead of the dimension of a subspace being in a discrete set 0, 1, ..., n, it can be an element of the unit interval [0,1].".
- Continuous_geometry label "Continuous geometry".
- Continuous_geometry sameAs Q5165479.
- Continuous_geometry sameAs m.0h1cxgy.
- Continuous_geometry sameAs Q5165479.
- Continuous_geometry wasDerivedFrom Continuous_geometry?oldid=702829012.
- Continuous_geometry isPrimaryTopicOf Continuous_geometry.