Definition of Cofinal. Meaning of Cofinal. Synonyms of Cofinal

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Definition of Cofinal

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Meaning of Cofinal from wikipedia

- 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. Formally, cf ⁡...
- 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...
- below, C, remained the lower limit. In addition to the range, the tenor (cofinal, or dominant, corresponding to the "reciting tone" of the psalm tones)...
- Cofinal may refer to: Cofinal (mathematics), the property of a subset B of a preordered set A such that for every element of A there is a "larger element"...
- The cofinality of any ordinal α is a regular ordinal, i.e. the cofinality of the cofinality of α is the same as the cofinality of α. So the cofinality operation...
- h ( I ) {\displaystyle h(I)} is cofinal in A . {\displaystyle A.} The set h ( I ) {\displaystyle h(I)} being cofinal in A {\displaystyle A} means that...
- Archimedean property is related to the concept of cofinality. A set X contained in an ordered set F is cofinal in F if for every y in F there is an x in X such...
- Euclidean distance. A class of ordinal numbers is said to be unbounded, or cofinal, when given any ordinal, there is always some element of the class greater...
- {\displaystyle Q} of a partially ordered set P {\displaystyle P} is said to be cofinal if for every x ∈ P {\displaystyle x\in P} there exists some y ∈ Q {\displaystyle...
- an initial subsequence of the cf(κ)-sequence. Thus its cofinality is less than the cofinality of κ and greater than it at the same time; which is a contradiction...