Definition:Cover of Set

Definition
Let $S$ be a set.

A cover for $S$ is a set of sets $\CC$ such that:
 * $\ds S \subseteq \bigcup \CC$

where $\bigcup \CC$ denotes the union of $\CC$.

We say that $S$ is covered by $\CC$.

Also known as
A cover is also known as a covering.

Also see

 * Definition:Open Cover