What does cofinal (mathematics) mean?

Definitions for cofinal (mathematics)
co·final (math·e·matics)

This dictionary definitions page includes all the possible meanings, example usage and translations of the word cofinal (mathematics).

Wikipedia

  1. Cofinal (mathematics)

    In mathematics, a subset B ⊆ A {\displaystyle B\subseteq A} of a preordered set ( A , ≤ ) {\displaystyle (A,\leq )} is said to be cofinal or frequent in A {\displaystyle A} if for every a ∈ A , {\displaystyle a\in A,} it is possible to find an element b {\displaystyle b} in B {\displaystyle B} that is "larger than a {\displaystyle a} " (explicitly, "larger than a {\displaystyle a} " means a ≤ b {\displaystyle a\leq b} ). Cofinal subsets are very important in the theory of directed sets and nets, where “cofinal subnet” is the appropriate generalization of "subsequence". They are also important in order theory, including the theory of cardinal numbers, where the minimum possible cardinality of a cofinal subset of A {\displaystyle A} is referred to as the cofinality of A . {\displaystyle A.}

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Numerology

  1. Chaldean Numerology

    The numerical value of cofinal (mathematics) in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of cofinal (mathematics) in Pythagorean Numerology is: 1

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"cofinal (mathematics)." Definitions.net. STANDS4 LLC, 2024. Web. 29 Dec. 2024. <https://www.definitions.net/definition/cofinal+%28mathematics%29>.

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