Douady's conjecture on Banach analytic spaces

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dc.creatorPestov, Vladimir G.
dc.date1994-06-20
dc.date.accessioned2026-07-07T09:13:29Z
dc.date.available2026-07-07T09:13:29Z
dc.descriptionWe show that, as conjectured by Adrien Douady back in 1972, every complete metric space is homeomorphic (moreover, isometric) to the locus of zeros of an analytic map between two Banach spaces. As a corollary, a paracompact topological space admits the structure of a Banach analytic space if and only if it is metrizable with a complete metric.
dc.description5 pages. AmS TeX 2.1 source file
dc.identifierhttps://arxiv.org/abs/funct-an/9406004
dc.identifierhttp://arxiv.org/abs/funct-an/9406004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152340
dc.subjectFunctional Analysis
dc.titleDouady's conjecture on Banach analytic spaces
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