Let X = (a, b, c, d) and TX = (0, 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...

Extracted text: Let X = (a, b, c, d) and TX = (0, 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)-f(b) = 3, f(c) = 2 and f(d) = 1. Let g be mapping from X intoY defined by g(a)-1.g(b)-g(c)=3 and g(d) = 2. Then fis not .continuous and g is contimuous fand g are not continuous fand g are both continuous O fis continuous and g is not continuous