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单词 DescendingChainCondition
释义

descending chain condition


A partially ordered setMathworldPlanetmath S (for example, a collectionMathworldPlanetmath of subsets of a set X, ordered by inclusion) satisfies the descending chain conditionMathworldPlanetmathPlanetmathPlanetmath or DCC if there does not exist an infinite descending chain s1>s2> of elements of S.

See also the ascending chain conditionMathworldPlanetmathPlanetmath (ACC).

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