Open manifolds which are non-realizable as leaves (Q1061391)
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scientific article; zbMATH DE number 3911315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Open manifolds which are non-realizable as leaves |
scientific article; zbMATH DE number 3911315 |
Statements
Open manifolds which are non-realizable as leaves (English)
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1985
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The authors prove the following theorem: Let E be an arbitrary non-empty, compact, totally disconnected metrizable space. Then for any \(n\geq 3\), there exists an n-dimensional open orientable manifold L whose endspace is homeomorphic to E and which cannot be realized as a leaf of a codimension one \(C^ 2\) foliation of any closed manifold. This improves a result obtained by \textit{E. Ghys} [Topology 24, 67-73 (1985; Zbl 0527.57016)].
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end compactification
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leaf of a codimension one \(C^ 2\) foliation
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0.90390253
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0.87793946
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0.87119573
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0.8623777
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0.85532194
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0.8525756
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0.8512329
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