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- Rotas_basis_conjecture abstract "In linear algebra and matroid theory, Rota's basis conjecture is an unproven conjecture concerning rearrangements of bases, named after Gian-Carlo Rota. It states that, if X is either a vector space of dimension n or more generally a matroid of rank n, with n disjoint bases Bi, then it is possible to arrange the elements of these bases into an n × n matrix in such a way that the rows of the matrix are exactly the given bases and the columns of the matrix are also bases. That is, it should be possible to find a second set of n disjoint bases Ci, each of which consists of one element from each of the bases Bi.".
- Rotas_basis_conjecture thumbnail Rotas_basis_conjecture_2.svg?width=300.
- Rotas_basis_conjecture wikiPageExternalLink rotas_basis_conjecture.
- Rotas_basis_conjecture wikiPageID "38405915".
- Rotas_basis_conjecture wikiPageLength "7800".
- Rotas_basis_conjecture wikiPageOutDegree "21".
- Rotas_basis_conjecture wikiPageRevisionID "703814464".
- Rotas_basis_conjecture wikiPageWikiLink Basis_(linear_algebra).
- Rotas_basis_conjecture wikiPageWikiLink Cartesian_coordinate_system.
- Rotas_basis_conjecture wikiPageWikiLink Category:Conjectures.
- Rotas_basis_conjecture wikiPageWikiLink Category:Linear_algebra.
- Rotas_basis_conjecture wikiPageWikiLink Category:Matroid_theory.
- Rotas_basis_conjecture wikiPageWikiLink Conjecture.
- Rotas_basis_conjecture wikiPageWikiLink Euclidean_space.
- Rotas_basis_conjecture wikiPageWikiLink Gian-Carlo_Rota.
- Rotas_basis_conjecture wikiPageWikiLink Latin_square.
- Rotas_basis_conjecture wikiPageWikiLink Linear_algebra.
- Rotas_basis_conjecture wikiPageWikiLink Linear_independence.
- Rotas_basis_conjecture wikiPageWikiLink Matrix_(mathematics).
- Rotas_basis_conjecture wikiPageWikiLink Matroid.
- Rotas_basis_conjecture wikiPageWikiLink Paving_matroid.
- Rotas_basis_conjecture wikiPageWikiLink Real_number.
- Rotas_basis_conjecture wikiPageWikiLink Rotas_conjecture.
- Rotas_basis_conjecture wikiPageWikiLink Tverbergs_theorem.
- Rotas_basis_conjecture wikiPageWikiLink Two-dimensional_space.
- Rotas_basis_conjecture wikiPageWikiLink Vector_space.
- Rotas_basis_conjecture wikiPageWikiLink File:Rotas_basis_conjecture_2.svg.
- Rotas_basis_conjecture wikiPageWikiLinkText "Rota's basis conjecture".
- Rotas_basis_conjecture wikiPageUsesTemplate Template:Harvtxt.
- Rotas_basis_conjecture wikiPageUsesTemplate Template:Reflist.
- Rotas_basis_conjecture subject Category:Conjectures.
- Rotas_basis_conjecture subject Category:Linear_algebra.
- Rotas_basis_conjecture subject Category:Matroid_theory.
- Rotas_basis_conjecture hypernym Conjecture.
- Rotas_basis_conjecture type Combinatoric.
- Rotas_basis_conjecture type Conjecture.
- Rotas_basis_conjecture type Statement.
- Rotas_basis_conjecture type Statement.
- Rotas_basis_conjecture comment "In linear algebra and matroid theory, Rota's basis conjecture is an unproven conjecture concerning rearrangements of bases, named after Gian-Carlo Rota. It states that, if X is either a vector space of dimension n or more generally a matroid of rank n, with n disjoint bases Bi, then it is possible to arrange the elements of these bases into an n × n matrix in such a way that the rows of the matrix are exactly the given bases and the columns of the matrix are also bases.".
- Rotas_basis_conjecture label "Rota's basis conjecture".
- Rotas_basis_conjecture sameAs Q7370200.
- Rotas_basis_conjecture sameAs m.0qrznk8.
- Rotas_basis_conjecture sameAs Q7370200.
- Rotas_basis_conjecture wasDerivedFrom Rotas_basis_conjecture?oldid=703814464.
- Rotas_basis_conjecture depiction Rotas_basis_conjecture_2.svg.
- Rotas_basis_conjecture isPrimaryTopicOf Rotas_basis_conjecture.