# Definition:Family

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## Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

**Family** may refer to:

**Family**is used by some authors as a synonym for set.

However, the general underststanding of the term **family** is as follows:

- Indexed family: a mapping $x: I \to S$ from an indexing set $I$ to a set $S$, usually denoted $\left\langle{x_i}\right)_{i \mathop \in I}$
- Indexed family of sets: when $S$ is a set of sets
- Indexed family of subsets: when $S$ is a set of subsets of another set.