7. Let X be an infinite set and let 12 be the collection of subsets A CX such that A= X or X\A is infinite. True or Fals
Posted: Wed May 11, 2022 9:38 pm
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7. Let X be an infinite set and let 12 be the collection of subsets A CX such that A= X or X\A is infinite. True or False: N is a topology on X. (a) True (b) False 8. Consider the collection of subsets B = {(a,b) | a, b E Q} of R. Then B is a basis for a topology on R. True or False: (B) is the standard topology on R. (a) True (b) False
7. Let X be an infinite set and let 12 be the collection of subsets A CX such that A= X or X\A is infinite. True or False: N is a topology on X. (a) True (b) False 8. Consider the collection of subsets B = {(a,b) | a, b E Q} of R. Then B is a basis for a topology on R. True or False: (B) is the standard topology on R. (a) True (b) False