# Category:Quotient Sets

This category contains results about Quotient Sets.

Let $\mathcal R$ be an equivalence relation on a set $S$.

For any $x \in S$, let $\eqclass x {\mathcal R}$ be the $\mathcal R$-equivalence class of $x$.

The quotient set of $S$ induced by $\mathcal R$ is the set $S / \mathcal R$ of $\mathcal R$-classes of $\mathcal R$:

$S / \mathcal R := \set {\eqclass x {\mathcal R}: x \in S}$

## Subcategories

This category has the following 6 subcategories, out of 6 total.

## Pages in category "Quotient Sets"

The following 17 pages are in this category, out of 17 total.