quotient set in a sentence

Examples

1. Often in mathematics, when one defines an equivalence relation on a set, one immediately forms the quotient set ( turning equivalence into extensional equality ( the equivalence relation, or the equality on the quotient set ).
2. Often in mathematics, when one defines an equivalence relation on a set, one immediately forms the quotient set ( turning equivalence into extensional equality ( the equivalence relation, or the equality on the quotient set ).
3. The "'first size homotopy group "'of the size pair ( M, \ varphi ) \ computed at ( X, Y ) \ is defined to be the quotient set of the set of all loops.