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