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linearly ordered (Definition)

An ordering $ \le$ (or $ <$) of $ A$ is called linear or total if any two elements of $ A$ are comparable. The pair $ (A,\le)$ is then called a linearly ordered set.



"linearly ordered" is owned by akrowne.
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See Also: chain

Other names:  linear ordering, totally ordered, total ordering
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Cross-references: linearly ordered set, comparable, ordering
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This is version 2 of linearly ordered, born on 2002-01-05, modified 2006-10-28.
Object id is 1345, canonical name is LinearlyOrdered.
Accessed 9782 times total.

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AMS MSC: 03-00 (Mathematical logic and foundations :: General reference works )
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