6. (i) Let f: (X, J) → (Y, U), where (X, T) and (Y, U) are two topolog- ical spaces. Show that if (X, J) is a discrete space, then f is continuous. (ii) Let X = {a,b,c}. construct two topologies T₁ and T₂ on X. Then define a function f: (X, J₁)→ (X, J₂) so that f is continuous.

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