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cofinal subset

См. также в других словарях:

  • Cofinal (mathematics) — In mathematics, let A be a set and let ≤ be a binary relation on A. Then a subset B of A is said to be cofinal if it satisfies the following condition: For every a ∈ A, there exists some b ∈ B such that a ≤ b. This… …   Wikipedia

  • cofinal — /koh fuyn l/, adj. Math. of or pertaining to a subset of a set with a partial order relation, as greater than or equal to, in which corresponding to each element in the set is an element in the subset that is in relation to the given element. [CO …   Universalium

  • cofinal — /koh fuyn l/, adj. Math. of or pertaining to a subset of a set with a partial order relation, as greater than or equal to, in which corresponding to each element in the set is an element in the subset that is in relation to the given element. [CO …   Useful english dictionary

  • Cofinality — Not to be confused with cofiniteness. 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… …   Wikipedia

  • Ordinal number — This article is about the mathematical concept. For number words denoting a position in a sequence ( first , second , third , etc.), see Ordinal number (linguistics). Representation of the ordinal numbers up to ωω. Each turn of the spiral… …   Wikipedia

  • Subnet (mathematics) — In topology and related areas of mathematics, a subnet is a generalization of the concept of subsequence to the case of nets. The definition is not completely straightforward, but is designed to allow as many theorems about subsequences to… …   Wikipedia

  • Clubsuit — In mathematics, and particularly in axiomatic set theory, ♣S (clubsuit) is a family of combinatorial principles that are weaker version of the corresponding ◊S; it was introduced in 1975 by A. Ostaszewski. Contents 1 Definition 2 ♣ and ◊ 3… …   Wikipedia

  • Net (mathematics) — This article is about nets in topological spaces and not about ε nets in other fields. In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence. In… …   Wikipedia

  • Well-order — In mathematics, a well order relation (or well ordering) on a set S is a total order on S with the property that every non empty subset of S has a least element in this ordering.Equivalently, a well ordering is a well founded total order.The set… …   Wikipedia

  • Bounded set — In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from …   Wikipedia

  • Real closed field — In mathematics, a real closed field is a field F in which any of the following equivalent conditions are true:#There is a total order on F making it an ordered field such that, in this ordering, every positive element of F is a square in F and… …   Wikipedia

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