3. Let X be a topological space and S be a set. If f : X -> X" is continuous, then fs := 1, of is continuous for all s e S, when X" is equipped with the box topology. 4. Let X be a topological space and S be a set. If f : X -> X is a function and f, := 1, of is continuous for all s 6 5, then f is continuous, when X is equipped with the box topology