Question: Could someone please help me with this question Show that compactness is necessary in Corollary 3.5.8. That is, find a family of intervals { An

Could someone please help me with this question Show that compactness

Could someone please help me with this question

Show that compactness is necessary in Corollary 3.5.8. That is, find a family of intervals { An : n e N} with An +1 C An for all n, An = 0, and such that n =1 1. The sets An are all closed. 2. The sets An are all bounded

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