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$$2^X$$ and $$C(X)$$ are homeomorphic to the Hilbert cube. (English) Zbl 0302.54011

##### MSC:
 54B20 Hyperspaces in general topology 51M05 Euclidean geometries (general) and generalizations 54F15 Continua and generalizations 54F50 Topological spaces of dimension $$\leq 1$$; curves, dendrites 54F65 Topological characterizations of particular spaces 57N20 Topology of infinite-dimensional manifolds
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##### References:
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