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Cofinality
Translation of "cofinality" into Russian
cofinality
Noun
cofinality
cofinalities pl
The cofinality of a partially ordered set is an important concept in set theory.
Кофинальность частично упорядоченного множества является важным понятием в теории множеств.
Definitions
cofinality
Noun
In set theory, the least ordinal α such that a partially ordered set (or ordinal) has an unbounded (cofinal) subset of order type α; equivalently, the minimal cardinality of a cofinal subset.
The cofinality of the ordinal ω is ω, because the natural numbers themselves form an unbounded subset of order type ω.