2. Define a cofinite topology J on an infinite set X. Answer each of the following...

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2. Define a cofinite topology J on an infinite set X. Answer each of the following for (X, J): (i) Verify that J is a topology on X; (ii) Show that (X, J) is T, but not T2; 2. Define a cofinite topology J on an infinite set X. Answer each of the following for (X, J): (i) Verify that J is a topology on X; (ii) Show that (X, J) is T, but not T2;