quotient set

Noun

 * 1)  the set consisting of all equivalence classes
 * Given the set of integers $$\mathbb{Z}$$, and the equivalence relation $$a\sim b \iff a\equiv b (\mod 2) \iff (a-b)%2=0$$, the quotient set is written $$\mathbb{Z} /\sim = \{ \bar 0, \bar 1 \}$$, consisting of the even and the odd integers.