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Characterization of Hilbert space manifolds revisited - MaRDI portal

Characterization of Hilbert space manifolds revisited (Q1819425)

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scientific article; zbMATH DE number 3992469
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English
Characterization of Hilbert space manifolds revisited
scientific article; zbMATH DE number 3992469

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    Characterization of Hilbert space manifolds revisited (English)
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    1986
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    This is a survey paper on manifolds modelled on \(s=(0,1)^{\infty}\), the product of countably many open intervals. The authors present an approach leading to the characterization of s-manifolds that relies exclusively on the geometry of s. They refine the notion of Z-set and correct a misconception that has surfaced in characterizing manifolds in the non- locally compact setting.
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    Hilbert space manifolds
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    Z-set
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    near homeomorphism
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    strong Z-set
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    shrinking criterion
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