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- Cofinality abstract "In mathematics, especially in order theory, the cofinality cf(A) of a partially ordered set A is the least of the cardinalities of the cofinal subsets of A.This definition of cofinality relies on the axiom of choice, as it uses the fact that every non-empty set of cardinal numbers has a least member. The cofinality of a partially ordered set A can alternatively be defined as the least ordinal x such that there is a function from x to A with cofinal image. This second definition makes sense without the axiom of choice. If the axiom of choice is assumed, as will be the case in the rest of this article, then the two definitions are equivalent.Cofinality can be similarly defined for a directed set and is used to generalize the notion of a subsequence in a net.".
- Cofinality wikiPageID "6693".
- Cofinality wikiPageLength "6589".
- Cofinality wikiPageOutDegree "36".
- Cofinality wikiPageRevisionID "633670654".
- Cofinality wikiPageWikiLink Axiom_of_choice.
- Cofinality wikiPageWikiLink Binomial_coefficient.
- Cofinality wikiPageWikiLink Bounded_(set_theory).
- Cofinality wikiPageWikiLink Cardinal_number.
- Cofinality wikiPageWikiLink Cardinality.
- Cofinality wikiPageWikiLink Cardinality_of_the_continuum.
- Cofinality wikiPageWikiLink Category:Cardinal_numbers.
- Cofinality wikiPageWikiLink Category:Order_theory.
- Cofinality wikiPageWikiLink Category:Ordinal_numbers.
- Cofinality wikiPageWikiLink Category:Set_theory.
- Cofinality wikiPageWikiLink Club_set.
- Cofinality wikiPageWikiLink Cofinal_(mathematics).
- Cofinality wikiPageWikiLink Cofinal_subset.
- Cofinality wikiPageWikiLink Continuum_hypothesis.
- Cofinality wikiPageWikiLink Directed_set.
- Cofinality wikiPageWikiLink Disjoint_union.
- Cofinality wikiPageWikiLink Greatest_element.
- Cofinality wikiPageWikiLink Idempotence.
- Cofinality wikiPageWikiLink Idempotent.
- Cofinality wikiPageWikiLink Image_(mathematics).
- Cofinality wikiPageWikiLink Initial_ordinal.
- Cofinality wikiPageWikiLink Kxc3xb6nigs_theorem_(set_theory).
- Cofinality wikiPageWikiLink Limit_ordinal.
- Cofinality wikiPageWikiLink Mathematics.
- Cofinality wikiPageWikiLink Maximal_element.
- Cofinality wikiPageWikiLink Net_(mathematics).
- Cofinality wikiPageWikiLink Order_isomorphic.
- Cofinality wikiPageWikiLink Order_isomorphism.
- Cofinality wikiPageWikiLink Order_theory.
- Cofinality wikiPageWikiLink Order_type.
- Cofinality wikiPageWikiLink Ordinal_number.
- Cofinality wikiPageWikiLink Partially_ordered_set.
- Cofinality wikiPageWikiLink Real_number.
- Cofinality wikiPageWikiLink Regular_cardinal.
- Cofinality wikiPageWikiLink Subsequence.
- Cofinality wikiPageWikiLink Successor_ordinal.
- Cofinality wikiPageWikiLink Total_order.
- Cofinality wikiPageWikiLink Von_Neumann_cardinal_assignment.
- Cofinality wikiPageWikiLink Well-order.
- Cofinality wikiPageWikiLink Well-ordered_set.
- Cofinality wikiPageWikiLinkText "Cofinality".
- Cofinality wikiPageWikiLinkText "cofinal".
- Cofinality wikiPageWikiLinkText "cofinalities".
- Cofinality wikiPageWikiLinkText "cofinality".
- Cofinality hasPhotoCollection Cofinality.
- Cofinality wikiPageUsesTemplate Template:Distinguish.
- Cofinality subject Category:Cardinal_numbers.
- Cofinality subject Category:Order_theory.
- Cofinality subject Category:Ordinal_numbers.
- Cofinality subject Category:Set_theory.
- Cofinality type Field.
- Cofinality type Thing.
- Cofinality comment "In mathematics, especially in order theory, the cofinality cf(A) of a partially ordered set A is the least of the cardinalities of the cofinal subsets of A.This definition of cofinality relies on the axiom of choice, as it uses the fact that every non-empty set of cardinal numbers has a least member. The cofinality of a partially ordered set A can alternatively be defined as the least ordinal x such that there is a function from x to A with cofinal image.".
- Cofinality label "Cofinality".
- Cofinality differentFrom Cofiniteness.
- Cofinality sameAs Kofinál.
- Cofinality sameAs Konfinalität.
- Cofinality sameAs Cofinalidad.
- Cofinality sameAs קופינליות.
- Cofinality sameAs Cofinalità.
- Cofinality sameAs 共終数.
- Cofinality sameAs 공종도.
- Cofinality sameAs Cofinaliteit.
- Cofinality sameAs Cofinalidade.
- Cofinality sameAs m.01yw8.
- Cofinality sameAs Kofinál.
- Cofinality sameAs Q1283623.
- Cofinality sameAs Q1283623.
- Cofinality sameAs 共尾性.
- Cofinality wasDerivedFrom Cofinality?oldid=633670654.
- Cofinality isPrimaryTopicOf Cofinality.