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- Transversal_(combinatorics) abstract "In mathematics, given a collection C of sets, a transversal (also called a cross-section) is a set containing exactly one element from each member of the collection. When the sets of the collection are mutually disjoint, each element of the transversal corresponds to exactly one member of C (the set it is a member of). If the original sets are not disjoint, there are two possibilities for the definition of a transversal. One variation, the one that mimics the situation when the sets are mutually disjoint, is that there is a bijection f from the transversal to C such that x is an element of f(x) for each x in the transversal. In this case, the transversal is also called a system of distinct representatives. The other, less commonly used, possibility does not require a one-to-one relation between the elements of the transversal and the sets of C. Loosely speaking, in this situation the members of the system of representatives are not necessarily distinct.".
- Transversal_(combinatorics) wikiPageID "897733".
- Transversal_(combinatorics) wikiPageLength "9400".
- Transversal_(combinatorics) wikiPageOutDegree "36".
- Transversal_(combinatorics) wikiPageRevisionID "656113265".
- Transversal_(combinatorics) wikiPageWikiLink Axiom_of_choice.
- Transversal_(combinatorics) wikiPageWikiLink Bernstein_set.
- Transversal_(combinatorics) wikiPageWikiLink Bijection.
- Transversal_(combinatorics) wikiPageWikiLink Blocking_set.
- Transversal_(combinatorics) wikiPageWikiLink Category:Combinatorics.
- Transversal_(combinatorics) wikiPageWikiLink Category:Group_theory.
- Transversal_(combinatorics) wikiPageWikiLink Category_theory.
- Transversal_(combinatorics) wikiPageWikiLink Codomain.
- Transversal_(combinatorics) wikiPageWikiLink Coset.
- Transversal_(combinatorics) wikiPageWikiLink Derived_set_(mathematics).
- Transversal_(combinatorics) wikiPageWikiLink Direct_product_of_groups.
- Transversal_(combinatorics) wikiPageWikiLink Domain_of_a_function.
- Transversal_(combinatorics) wikiPageWikiLink Equivalence_class.
- Transversal_(combinatorics) wikiPageWikiLink Equivalence_relation.
- Transversal_(combinatorics) wikiPageWikiLink Eugene_Lawler.
- Transversal_(combinatorics) wikiPageWikiLink Full_transformation_semigroup.
- Transversal_(combinatorics) wikiPageWikiLink Group_theory.
- Transversal_(combinatorics) wikiPageWikiLink H._J._Ryser.
- Transversal_(combinatorics) wikiPageWikiLink Halls_marriage_theorem.
- Transversal_(combinatorics) wikiPageWikiLink Image_(mathematics).
- Transversal_(combinatorics) wikiPageWikiLink Inverse_element.
- Transversal_(combinatorics) wikiPageWikiLink Kernel_(set_theory).
- Transversal_(combinatorics) wikiPageWikiLink Leon_Mirsky.
- Transversal_(combinatorics) wikiPageWikiLink Mathematics.
- Transversal_(combinatorics) wikiPageWikiLink Matroid.
- Transversal_(combinatorics) wikiPageWikiLink Partition_of_a_set.
- Transversal_(combinatorics) wikiPageWikiLink Perfect_sets.
- Transversal_(combinatorics) wikiPageWikiLink Permanent.
- Transversal_(combinatorics) wikiPageWikiLink Polish_space.
- Transversal_(combinatorics) wikiPageWikiLink Projective_plane.
- Transversal_(combinatorics) wikiPageWikiLink Quotient_map.
- Transversal_(combinatorics) wikiPageWikiLink Quotient_space_(topology).
- Transversal_(combinatorics) wikiPageWikiLink Regular_semigroup.
- Transversal_(combinatorics) wikiPageWikiLink Section_(category_theory).
- Transversal_(combinatorics) wikiPageWikiLink Set_(mathematics).
- Transversal_(combinatorics) wikiPageWikiLink Set_theory.
- Transversal_(combinatorics) wikiPageWikiLink Subgroup.
- Transversal_(combinatorics) wikiPageWikiLink Transformation_semigroup.
- Transversal_(combinatorics) wikiPageWikiLinkText "System of distinct representatives".
- Transversal_(combinatorics) wikiPageWikiLinkText "Transversal (combinatorics)".
- Transversal_(combinatorics) wikiPageWikiLinkText "system of distinct representatives".
- Transversal_(combinatorics) wikiPageWikiLinkText "systems of distinct representatives".
- Transversal_(combinatorics) wikiPageWikiLinkText "transversal theory".
- Transversal_(combinatorics) wikiPageWikiLinkText "transversal".
- Transversal_(combinatorics) wikiPageWikiLinkText "transversals".
- Transversal_(combinatorics) hasPhotoCollection Transversal_(combinatorics).
- Transversal_(combinatorics) wikiPageUsesTemplate Template:Citation.
- Transversal_(combinatorics) wikiPageUsesTemplate Template:Combin-stub.
- Transversal_(combinatorics) wikiPageUsesTemplate Template:Other_uses.
- Transversal_(combinatorics) wikiPageUsesTemplate Template:Reflist.
- Transversal_(combinatorics) subject Category:Combinatorics.
- Transversal_(combinatorics) subject Category:Group_theory.
- Transversal_(combinatorics) comment "In mathematics, given a collection C of sets, a transversal (also called a cross-section) is a set containing exactly one element from each member of the collection. When the sets of the collection are mutually disjoint, each element of the transversal corresponds to exactly one member of C (the set it is a member of). If the original sets are not disjoint, there are two possibilities for the definition of a transversal.".
- Transversal_(combinatorics) label "Transversal (combinatorics)".
- Transversal_(combinatorics) sameAs Transversal_(matemática).
- Transversal_(combinatorics) sameAs Transversaal.
- Transversal_(combinatorics) sameAs Transwersala.
- Transversal_(combinatorics) sameAs m.03mwhb.
- Transversal_(combinatorics) sameAs Трансверсаль.
- Transversal_(combinatorics) sameAs Q2208651.
- Transversal_(combinatorics) sameAs Q2208651.
- Transversal_(combinatorics) wasDerivedFrom Transversal_(combinatorics)?oldid=656113265.
- Transversal_(combinatorics) isPrimaryTopicOf Transversal_(combinatorics).