\begin{definition}[Definition:Set Partition/Component]
Let $S$ be a set.
Let $\mathbb S = \set {S_1 \mid S_2 \mid \cdots}$ be a partition of $S$.
The elements $S_1, S_2, \ldots \in \mathbb S$ are known as the '''components''' of the partition.
Category:Definitions/Set Partitions
\end{definition}