quotient set
noun1
Mathematics, Sciences the set consisting of all equivalence classes
Given some set and an equivalence relation on that set
- Given the set of integers ℤ, and the equivalence relation a∼b⟺a≡b( mod 2)⟺(a-b)%2=0, the quotient set is written ℤ/∼=̄0,̄1, consisting of the even and the odd integers.
- Related terms
- quotient topology, quotient space