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- W2950395917 abstract "We 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." @default.
- W2950395917 created "2019-06-27" @default.
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- W2950395917 date "1994-06-20" @default.
- W2950395917 modified "2023-09-27" @default.
- W2950395917 title "Douady's conjecture on Banach analytic spaces" @default.
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