Let x = {a, b,c, d,e) and t = {0,{,,c,,c, d,e),x) (a). show that t is a topology on x. (b). what are the closed sets in t (c). what are the closures and interiors of (a), (b} as well as their boundaries. (d). give the closure of fa, bj. what can be deduced from that? (e). give the neighborhoods of c and d. (f). is t hausdorff.