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  3. find a descending sequence f1 f2 ...

Question: find a descending sequence f1 f2 ...

Question details
  1.  Find a descending sequence F⊃ F⊃ · · · of closed subsets {Fnin the euclidean line with empty intersection.

  2. Let f:[0,1)S={zC;|z|=1}be a map defined by f(x)=e2πix. Show that is continuous and bijective but the inverse fis not continuous.

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