Question: 7. Let X be an infinite set and let ? be the collection of subsets A C X such that A = X or X

7. Let X be an infinite set and let ? be the collection of subsets A C X such that A = X or X \\ A is infinite. True or False: 0 is a topology on X. (a) True (b) False (c) (d) 8. Consider the collection of subsets # = {(a, b) | a, be Q} of R. Then # is a basis for a topology on R. True or False: (2) is the standard topology on R. (a) True (b) False (c) (d)

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