Analytic subsets of Hilbert spaces

Details Analytic subsets of Hilbert spaces Analytic subsets of Hilbert spaces

1995-03-28

arxiv.org/abs/dg-ga/9503011v1

Mathematics

Differential Geometry

6 pp., AmS TeX 2.1 source file

Scientific paper

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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