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

Remark

The synonym mutually disjoint is also used.

Title	pairwise disjoint
Canonical name	PairwiseDisjoint
Date of creation	2013-03-22 14:13:05
Last modified on	2013-03-22 14:13:05
Owner	yark (2760)
Last modified by	yark (2760)
Numerical id	9
Author	yark (2760)
Entry type	Definition
Classification	msc 03E99
Synonym	mutually disjoint