Boundary set imbeddings in the Hilbert cube (Q1069181)
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scientific article; zbMATH DE number 3934037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary set imbeddings in the Hilbert cube |
scientific article; zbMATH DE number 3934037 |
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Boundary set imbeddings in the Hilbert cube (English)
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1985
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We make the following remarks. Every boundary set in the Hilbert cube can be reimbedded as a dense \(\sigma\) Z-set whose complement is not \(\ell^ 2\). There exist spaces that can be imbedded as a boundary set in more than one way. We also give a necessary condition for a space to be imbeddable as a boundary set.
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boundary set in the Hilbert cube
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