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Let {Kn : n ∈ N} be a collection of nonempty compact subsets of R N...

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Advance Math

Let {Kn : n ∈ N} be a collection of nonempty compact subsets ofR N such that for all n, Kn+1 ⊂ Kn. Show that K = T∞ n=1 Kn iscompact. Can K ever be the empty set?

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