A Theorem on Continuity of a Random Function on a Compact Set in Hilbert Space | Theory of Probability & Its Applications
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SOLVED: (1) Let X be a compact metric space and Qn = i a sequence of nonempty closed subsets of X such that Qn+1 ⊆ Qn for each n. Prove that ⋂n=1Qn
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![Compact Space: General topology, Metric space, Topological space, Closed set, Bounded set, Euclidean space, Bolzano?Weierstrass theorem, Function space, Maurice René Fréchet, Mathematical analysis : Miller, Frederic P., Vandome, Agnes F., McBrewster, John: Compact Space: General topology, Metric space, Topological space, Closed set, Bounded set, Euclidean space, Bolzano?Weierstrass theorem, Function space, Maurice René Fréchet, Mathematical analysis : Miller, Frederic P., Vandome, Agnes F., McBrewster, John:](https://m.media-amazon.com/images/I/71tg1eUOoXL._AC_UF1000,1000_QL80_.jpg)
Compact Space: General topology, Metric space, Topological space, Closed set, Bounded set, Euclidean space, Bolzano?Weierstrass theorem, Function space, Maurice René Fréchet, Mathematical analysis : Miller, Frederic P., Vandome, Agnes F., McBrewster, John:
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