Question:Suppose that f : X → Y and g: X → Y are
continuous maps between topological spaces...
Question
Suppose that f : X → Y and g: X → Y are
continuous maps between topological spaces...
Suppose that f : X → Y and g: X → Y are
continuous maps between topological spaces and that Y is Hausdorff.
Show that the set A = {x ∈ X : f(x) = g(x)} is closed in X.