Seifert manifolds (Q2776341)
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scientific article; zbMATH DE number 1714511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Seifert manifolds |
scientific article; zbMATH DE number 1714511 |
Statements
27 January 2003
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Seifert fiber space
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injective Seifert fibering
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generalized fiber spaces
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Seifert manifolds (English)
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The authors present an extensive account of a certain class of generalized fiber spaces they refer to as ``injective Seifert fiberings''. Specific qualifications are inconvenient to give here, but they lead to the following sequence of spaces and maps: \(\Gamma\backslash G\to X=\pi \backslash (G \times W)\to Q\backslash W\) where \(G\) is a Lie group and \(W\) a completely regular space admitting a covering space theory. \(\pi\) is a discrete subgroup of the autohomeomorphism group of \(G\times W\) and lies in the normalizer of the subgroup of left translations of \(G\). \(\Gamma\) is a discrete normal subgroup of \(\pi\), contained in \(\pi\cap G\), and \(Q\) is \(\pi/ \Gamma\). \(X\) is the injective Seifert fiber space.NEWLINENEWLINEFor the entire collection see [Zbl 0977.00029].
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