# 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 |