Last Updated
:2025/11/25
cofinality
Noun
countable
uncountable
Japanese Meaning
数学において、順序集合の充満部分集合(すなわち、その集合の各要素より大きい元を含む部分集合)のカードナリティ(大きさ)のうちの最小値、特に可算の場合の概念。 / 数学において、順序集合が充満(cofinal)であるという性質、すなわち任意の要素に対して充満部分集合から上界が存在するという特性、主に非可算の場合に注目される。
Sense(1)
Sense(2)
( plural )
Quizzes for review
(mathematics, countable) The least of the cardinalities of the cofinal subsets of a partially ordered set. / (mathematics, uncountable) The property of being cofinal.
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cofinality
The cofinality of a partially ordered set is the least of the cardinalities of its cofinal subsets.
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The cofinality of a partially ordered set is the least of the cardinalities of its cofinal subsets.
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