n-soft mapping onto an \(n\)-dimensional cube (Q1076998)
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scientific article; zbMATH DE number 3955958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | n-soft mapping onto an \(n\)-dimensional cube |
scientific article; zbMATH DE number 3955958 |
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n-soft mapping onto an \(n\)-dimensional cube (English)
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1985
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The author proves that any 1-dimensional space \(X\in AE(1)\) (for the class of compact Hausdorff spaces) and any n-soft generated compact Hausdorff space X with dim \(X\leq n\) \((n>0)\) are metrizable. As a lemma it is proved that any n-soft mapping of a metric compactum X with dim \(X\leq n\) onto an n-cube is a homeomorphism.
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one-dimensional AE(1)-bicompactum
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n-soft mapping
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