Does any noncompact manifold with a boundary possess a compactification which is a manifold? (Q1584156)
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scientific article; zbMATH DE number 1524059
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Does any noncompact manifold with a boundary possess a compactification which is a manifold? |
scientific article; zbMATH DE number 1524059 |
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Does any noncompact manifold with a boundary possess a compactification which is a manifold? (English)
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31 October 2000
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Responding to the question formulated in the title of the paper the author sets out the following result. The space \(X\) of the dimensions \(n>0\) has a compactification being a manifold iff it has a metric and the covering \(\{U_1,\dots,U_k\}\) uniform in this metric such that every \(U_i\) is uniformly homeomorphic to a dense subset of the ball \(\overline{D^n}\). Examples of compactifications are cited.
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non-compact manifold
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compactification
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