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pairwise disjoint
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(Definition)
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Definition Suppose $\{ E_\alpha\mid \alpha \in I \}$ is an arbitrary collection of sets. These sets are said to be pairwise disjoint if for every pair of distinct elements $\alpha,\beta\in I$ we have $E_\alpha \cap E_\beta= \emptyset$
The synonym mutually disjoint is also used.
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"pairwise disjoint" is owned by yark. [ full author list (2) | owner history (1) ]
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| Other names: |
mutually disjoint |
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Cross-references: collection
There are 34 references to this entry.
This is version 6 of pairwise disjoint, born on 2004-02-29, modified 2007-06-27.
Object id is 5653, canonical name is MutuallyDisjoint.
Accessed 11480 times total.
Classification:
| AMS MSC: | 03E99 (Mathematical logic and foundations :: Set theory :: Miscellaneous) |
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Pending Errata and Addenda
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