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Analytic subsets of Hilbert spaces

Vladimir Pestov
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Abstract

We show that every complete metric space is homeomorphic to the precise locus of zeros of an entire analytic map from a Hilbert space to a Banach space. As a corollary, every complete separable metric space is homeomorphic to the precise locus of zeros of an entire analytic map between two separable complex Hilbert spaces. AmS TeX 2.1.

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Vladimir Pestov. 1995-03-28. Analytic subsets of Hilbert spaces. https://arxiv.org/abs/dg-ga/9503011

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