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).

Title descending chain condition
Canonical name DescendingChainCondition
Date of creation 2013-03-22 12:01:14
Last modified on 2013-03-22 12:01:14
Owner antizeus (11)
Last modified by antizeus (11)
Numerical id 7
Author antizeus (11)
Entry type Definition
Classification msc 06A99
Synonym DCC