Problem

Show that compactness is necessary in Corollary 3.5.8. That is, find a family of intervals...

Show that compactness is necessary in Corollary 3.5.8. That is, find a family of intervals {An :n ∈ ℕ } with An + 1 ⊆ An for all n, , and such that

(a) The sets Anare all closed.
(b) The sets An are all bounded.

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Solutions For Problems in Chapter 3.14S

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