totally ordered set

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noun Mathematics.

a set in which a relation, as “less than or equal to,” holds for all pairs of elements of the set.

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Also called chain, linearly ordered set, simply ordered set.

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Totally ordered set is always a great word to know.

So is common denominator. Does it mean:

a number that is a multiple of all the denominators of a set of fractions

a number that is a multiple of all the numbers of a given set

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mathematics
A set with a total ordering.

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