Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold

Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold
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允许同伦稠密嵌入希尔伯特流形的空间的表征

DOI:
10.1016/s0166-8641(97)00117-x
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发表时间:
1998
期刊:
影响因子:
--
通讯作者:
T. Banakh
T. Banakh
中科院分区:
--
文献类型:
--
作者:
T. Banakh

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我们刻画了希尔伯特流形中允许同伦密集嵌入(=局部同伦可忽略补嵌入)的空间。本文还考虑了这种表征的有限维对应物。
We characterize spaces admitting a homotopy dense embedding (= embedding with locally homotopy negligible complement) into a Hilbert manifold. A finite-dimensional counterpart of this characterization is also considered.