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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 wikiPageRevisionID "539250889".
- Cofinality hasPhotoCollection Cofinality.
- Cofinality subject Category:Cardinal_numbers.
- Cofinality subject Category:Order_theory.
- Cofinality subject Category:Ordinal_numbers.
- Cofinality subject Category:Set_theory.
- Cofinality type Abstraction100002137.
- Cofinality type CardinalNumber113597585.
- Cofinality type CardinalNumbers.
- Cofinality type DefiniteQuantity113576101.
- Cofinality type Measure100033615.
- Cofinality type Number113582013.
- Cofinality type OrdinalNumber113597280.
- Cofinality type OrdinalNumbers.
- 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 "Cofinalidad".
- Cofinality label "Cofinalidade".
- Cofinality label "Cofinaliteit".
- Cofinality label "Cofinality".
- Cofinality label "Cofinalità".
- Cofinality label "Konfinalität".
- Cofinality label "共尾性".
- Cofinality label "共終数".
- Cofinality sameAs Kofinál.
- Cofinality sameAs Konfinalität.
- Cofinality sameAs Cofinalidad.
- Cofinality sameAs Cofinalità.
- Cofinality sameAs 共終数.
- Cofinality sameAs Cofinaliteit.
- Cofinality sameAs Cofinalidade.
- Cofinality sameAs m.01yw8.
- Cofinality sameAs Q1283623.
- Cofinality sameAs Q1283623.
- Cofinality sameAs Cofinality.
- Cofinality wasDerivedFrom Cofinality?oldid=539250889.
- Cofinality isPrimaryTopicOf Cofinality.