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5.2. Compact and Perfect Sets
Examples 5.2.5(a):
Let S = [0, 1], and C = { (-1/2, 1/2), (1/3, 2/3), (1/2, 3/2)}. Is C an open cover for
S ?
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- C consists of open sets only.
- The union of all sets in C contains S
Therefore,
C is an open cover for
S.