| Version current |
Version 5 |
| {\bf Definition} |
{\bf Definition} |
| Suppose $\{ E_\alpha\mid \alpha \in I \}$ is an arbitrary collection of sets. |
Suppose $\{ E_\alpha\mid \alpha \in I \}$ is an arbitrary collection of sets. |
| These sets are said to be \emph{pairwise disjoint} |
These sets are said to be \emph{pairwise disjoint} |
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if for every pair of distinct elements $\alpha,\beta\in I$,
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if for every pair of distinct elements $\alpha,\beta\in $I$,
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| we have $E_\alpha \cap E_\beta= \emptyset$. |
we have $E_\alpha \cap E_\beta= \emptyset$. |
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| \subsubsection*{Remark} |
\subsubsection*{Remark} |
| The synonym \emph{mutually disjoint} is also used. |
The synonym \emph{mutually disjoint} is also used. |
