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cofinal set

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  • 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

  • Thick set — In mathematics, a thick set is a set of integers that contains arbitrarily long intervals. That is, given a thick set T, for every p in mathbb{N}, there is some n in mathbb{N} such that {n, n+1, n+2, ... , n+p } subset T.ee also*Syndetic set… …   Wikipedia

  • List of exceptional set concepts — This is a list of exceptional set concepts. In mathematics, and in particular in mathematical analysis, it is very useful to be able to characterise subsets of a given set X as small , in some definite sense, or large if their complement in X is… …   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

  • List of order topics — This is a list of order topics, by Wikipedia page.An alphabetical list of many notions of order theory can be found in the order theory glossary. See also inequality, extreme value, optimization (mathematics), domain theory.Basic… …   Wikipedia

  • 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

  • Cofinalidad — En teoría de conjuntos y teoría del orden, un subconjunto A de un conjunto ordenado X es cofinal en X si no tiene cota superior en X. En teoría de conjuntos se utiliza este concepto para definir la noción de cofinalidad, que permite clasificar… …   Wikipedia Español

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