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'descending chain condition'
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| Title of object: |
descending chain condition |
| Canonical Name: |
DescendingChainCondition |
| Type: |
Definition |
| Created on: |
2001-11-23 21:23:26 |
| Modified on: |
2004-03-11 00:29:38 |
| Synonyms: |
descending chain condition=DCC |
Revision comment (for changes between this and next version):
| Changes for correction #4166 ('Classification'). |
Preamble:
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Content:
A partially ordered set $S$ (for example, a collection of subsets of a set $X$, ordered by inclusion) satisfies the {\it descending chain condition} or {\it DCC} if there does not exist an infinite descending chain $s_1 > s_2 > \cdots$ of elements of $S$.
See also the ascending chain condition (ACC). |
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