Exercise 2.15

Question

Exercise 15: Show that Thm 2.36 and its corollary become false if "compact" is replaced with
    "closed" or "bounded"

ghostofgarborg · Accepted Answer

Possible examples from $\mathbb R$: \
    Closed: Let $S_n = [n, \infty)$. Then $\bigcap_n S_n$ is empty. \
    Bounded: Let $S_n = (0, \frac 1 n)$. Then $\bigcap S_n$ is empty.

Exercise 2.15

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Exercise 2.15

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