Equivalence Class

Last updated Nov 1, 2022

Let $X$ be a Set and let $\sim$ be an Equivalence Relation on $X$. If $\mathcal{S}$ is the Partition of $X$ corresponding to $\sim$ (as per Correspondence of Surjective Functions, Partitions, and Equivalence Relations), then we call the elements $\mathcal{S}$ the Equivalence Classes of $\sim$.