Let X = {a, b, c, d} and TX = {ø, X, {b}, {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3, 4} and TY = {Ø, Y, {3}, {1,2,3}} be a topology on Y. Let f be a mapping from X into Y defined by f(a)=4,...

Extracted text: Let X = {a, b, c, d} and TX = {ø, X, {b}, {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3, 4} and TY = {Ø, Y, {3}, {1,2,3}} be a topology on Y. Let f be a mapping from X into Y defined by f(a)=4, f(b) = 3, f(c) = 2 and f(d) = 4. Let g be mapping from X into Y defined by g(a) = 1, %3D %3D g(b)=g(c)=3 and g(d) = 4. Then O f and g are not continuous f is not continuous and g is continuous fis continuous and g is not continuous O f and g are both continuous