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In mathematics, the Kuratowski embedding allows one to view any metric space as a subset of some Banach space. It is named after Kazimierz Kuratowski.
The statement obviously holds for the empty space.If is a metric space, x0 is a point in X, and Cb denotes the Banach space of all bounded continuous real-valued functions on X with the supremum norm, then the map
defined by
is an isometry.
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