quotient topology

quotient topology

[′kwō·shənt tə′päl·ə·jē]
(mathematics)
If X is a topological space, X / R the quotient space by some equivalence relation on X, the quotient topology on X / R is the smallest topology which makes the function which assigns to each element of X its equivalence class in X / R a continuous function.
References in periodicals archive ?
I] stands for the quotient topology defined by the topology [tau] of A.