Q3) Discuss these examples (a) Let X be an infinite set and t is the cofinite topology on X. Then deduce, for a finite subset ASX, both of A, A, b(A). (b) Let Ta be the particular point topology on X (a, b, c, d), and f:(X,ta)(X, t.) is defined by f(a) = f(b) = c, f(c) a, f(d) = a. Is f continuous or not?

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Q3) Discuss these examples
(a) Let X be an infinite set and t is the cofinite topology on X. Then deduce, for a finite subset A C X,
both of A, A, b(A).
(b) Let Ta be the particular point topology on X (a, b, c, d), and f:(X,ta) (X,ta) is defined by
f(a) = f(b) = c, f(c) = a, f(d) = a. Is f continuous or not?
Transcribed Image Text:Q3) Discuss these examples (a) Let X be an infinite set and t is the cofinite topology on X. Then deduce, for a finite subset A C X, both of A, A, b(A). (b) Let Ta be the particular point topology on X (a, b, c, d), and f:(X,ta) (X,ta) is defined by f(a) = f(b) = c, f(c) = a, f(d) = a. Is f continuous or not?
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