Consider the topology T = {X,0, {a}, {b, c}} on X = {a, b, c} and the topology Tz = {Y,Ø, {u}} on X = {u, v}. (a) Determine the subbasis S of the product topology on X × Y. This is the collection mentioned in Theorem 15.2. (b) Determine the basis B which consists of finite intersections of elements of S in (a).

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