Analytic subsets of Hilbert spaces
arXiv:dg-ga/9503011
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.
6 pp., AmS TeX 2.1 source file