### Problem 3 A variant of problem 2: let Set, be the category of sets with base point and of functions preserving the base point: namely, objects are ( (X, x) ), where ( X ) is a set and ( x in X ), and morphisms ( (X, x) rightarrow(Y, y) ) are functions ( f: X rightarrow Y ) such that ( f(x)=y ). Complete the definition with the obvious

Problem 3 A variant of problem 2: let Set, be the category of sets with base point and of functions preserving the base point: namely, objects are ( (X, x) ), where ( X ) is a set and ( x in X ), and morphisms ( (X, x) rightarrow(Y, y) ) are functions ( f: X rightarrow Y ) such that ( f(x)=y ). Complete the definition with the obvious