Category:Quotient Sets

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This category contains results about Quotient Sets.


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

For any $x \in S$, let $\eqclass x \RR$ be the $\RR$-equivalence class of $x$.


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

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