Analytic subsets of Hilbert spaces
dg-ga
2008-02-03 v1 Differential Geometry
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.
Cite
@article{arxiv.dg-ga/9503011,
title = {Analytic subsets of Hilbert spaces},
author = {Vladimir Pestov},
journal= {arXiv preprint arXiv:dg-ga/9503011},
year = {2008}
}
Comments
6 pp., AmS TeX 2.1 source file