# pairwise disjoint

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 $E_{\alpha}\cap E_{\beta}=\varnothing$.

## Remark

The synonym mutually disjoint is also used.

Title pairwise disjoint PairwiseDisjoint 2013-03-22 14:13:05 2013-03-22 14:13:05 yark (2760) yark (2760) 9 yark (2760) Definition msc 03E99 mutually disjoint