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- W11042331 abstract "For an infinite set $Gamma$, let $ell_{2}^{f}(Gamma)$ be the linear span of the canonical orthonormal basis of the Hilbert space $ell_{2}(Gamma)$, that is, [ ell_{2}^{f}(Gamma) = { xinell_{2}(Gamma) mid x(gamma) = 0 text{ except for finitely many } gammainGamma }.] We denote $ell_{2}^{f}=ell_{2}^{f}(N)$. Let $Q=[-1,1]^{omega}$ be the Hilbert cube. In this paper, we give characterizations of manifold modeled on the following spaces: $ell_{2}(Gamma) times ell_{2}^{f}$, $ell_2^f(Gamma)$ and $ell_{2}^{f}(Gamma)times Q$, where $ell_{2}(Gamma)times ell_{2}$ and $ell_{2}(Gamma)times Q$ are homeomorphic to $ell_{2}(Gamma)$. Our results are obtained by suitable alteration and modification of the separable case due to Bestvina and Mogilski." @default.
- W11042331 created "2016-06-24" @default.
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- W11042331 date "2003-06-01" @default.
- W11042331 modified "2023-09-29" @default.
- W11042331 title "Characterizing Manifolds Modeled on Certain Dense Subspaces of Non-Separable Hilbert Spaces" @default.
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- W11042331 doi "https://doi.org/10.21099/tkbjm/1496164566" @default.
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