Definition of Cofinality. Meaning of Cofinality. Synonyms of Cofinality

- equivalent. Cofinality can be similarly defined for a directed set and is used to generalize the notion of a subsequence in a net. The cofinality of a partially...
- there is a "larger element" in B Cofinality (mathematics), the least cardinality of a cofinal subset in this sense Cofinal (music), a part of some Gregorian...
- where the minimum possible cardinality of a cofinal subset of A {\displaystyle A} is referred to as the cofinality of A . {\displaystyle A.} Let ≤ {\displaystyle...
- 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...
- cannot equal certain special cardinals with cofinality ℵ0. An uncountably infinite cardinal κ having cofinality ℵ0 means that there is a (countable-length)...
- 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)...
- 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...
- 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...
- restriction to uncountable cofinality is in order to avoid trivialities: Suppose κ {\displaystyle \kappa } has countable cofinality. Then S ⊆ κ {\displaystyle...