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)...

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...

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...

mathematical theory, introduced by Saharon Shelah (1978), that deals with the cofinality of the ultraproducts of ordered sets. It gives strong upper bounds on...

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...