Linked from

The 8 pages that link to Quotient set, each with the reason it gives.

• Equivalence relationRelated: Replacing each class with one element produces the quotient set.

• Surjective functionRelated: The canonical map from a set onto its quotient set is surjective.

• PreorderRelated: The preorder quotient orders classes rather than individual mutually comparable elements.

• Antisymmetric relationRelated: Preorders can be made antisymmetric by identifying elements related in both directions.

• Equivalence classRelated: It treats each class as a single element in a new set.

• Partition of a setRelated: A partition's blocks can serve as the elements of a quotient set.

• Multinomial coefficientRelated: Permutations within each group are identified as equivalent in the counting argument.

• Equality relationRelated: Equality on equivalence classes turns a chosen equivalence relation into literal sameness in the quotient.