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1. If 7 is a topology on X, which of the following is not true? (a) Arbitrary union of elements of F is in F.
1. If 7 is a topology on X, which of the following is not true? (a) Arbitrary union of elements of F is in F. (b) Finite union of elements of 7 is in 7. (c) Finite intersection of elements of 7 is in 7. (d) None of the previous choices. 2. Which of the following is a topology on X = {1, 2, 3, 4}? (@) to, (1}, (2,3), X} (b) {o, (1}, {1, 3), x} (c) {o, {1, 2), {2,3, 4), X} (d) {o, {1, 2). (4), x}
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