{1] Prove that collection {:12} x {rah} C R2 with all possible $,a,h E R, is a basis of a topology on R2. Denote the corresponding topologyr by Ty. Let X = (Ran-1,} and Y = (R2,TE}, where T5: is the Euclidean metric space topolog},r on if. lOne of the maps 3" = idg: X > Y and g = idg: Y > X is continuous and the other one is not. Find which one and prove your answers