Category:Quotient Sets
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This category contains results about Quotient Sets.
Definitions specific to this category can be found in Definitions/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 $\RR$:
- $S / \RR := \set {\eqclass x \RR: x \in S}$
Subcategories
This category has the following 11 subcategories, out of 11 total.
Pages in category "Quotient Sets"
The following 21 pages are in this category, out of 21 total.
C
Q
R
- Relation Induced by Partition is Equivalence
- Relation Induced by Quotient Set is Equivalence
- Relation Partitions Set iff Equivalence
- Relation Partitions Set iff Equivalence/Proof
- Renaming Mapping is Bijection
- Renaming Mapping is Well-Defined
- Renaming Mapping/Examples
- Renaming Mapping/Examples/Projection of Plane onto x-axis