ascending chain condition

A partially ordered setMathworldPlanetmath S (for example, a collection of subsets of a set X when ordered by inclusion) satisfies the ascending chain conditionMathworldPlanetmathPlanetmathPlanetmath or ACC if there does not exist an infinite ascending chain s1<s2< of elements of S.

See also the descending chain conditionMathworldPlanetmathPlanetmathPlanetmath (DCC).

Title ascending chain condition
Canonical name AscendingChainCondition
Date of creation 2013-03-22 12:01:12
Last modified on 2013-03-22 12:01:12
Owner antizeus (11)
Last modified by antizeus (11)
Numerical id 8
Author antizeus (11)
Entry type Definition
Classification msc 06A99
Synonym ACC
Related topic FactorChainCondition