Measure preserving homeomorphism of the Hilbert cube embedding the pseudo-boundary into the pseudo-interior (Q744072)
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scientific article; zbMATH DE number 6351418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measure preserving homeomorphism of the Hilbert cube embedding the pseudo-boundary into the pseudo-interior |
scientific article; zbMATH DE number 6351418 |
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Measure preserving homeomorphism of the Hilbert cube embedding the pseudo-boundary into the pseudo-interior (English)
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6 October 2014
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The existence of homeomorphism of a Hilbert cube \(Q\) that maps \(B(Q):=Q\setminus s\) into \(s:=(0,1)^N\) and preserves the product of \(L\)-measures is established. The possibility of replacing in this result the pseudoboundary \(B(Q)\) by others \(Z_\sigma\)-sets remains an open problem.
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Hilbert cube
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measure-preserving mapping
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pseudo-interior
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pseudo-boundary
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0.7903969287872314
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0.7765220999717712
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0.7460033297538757
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