👉 In mathematics, coequalization is a concept used in algebraic geometry and algebraic topology. It refers to two objects being equal when they are obtained by considering only those properties that are preserved under certain operations on these objects. Specifically, if A and B are two objects in a category or a topological space, then the coequalizer of A and B is defined as follows: $$ \text{coequalizer}(A, B) = \{(x, f(x)) |