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On compact aspherical homogeneous manifolds of dimension \(\leq 7\) - MaRDI portal

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On compact aspherical homogeneous manifolds of dimension \(\leq 7\) (Q1938646)

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scientific article; zbMATH DE number 6138376
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English
On compact aspherical homogeneous manifolds of dimension \(\leq 7\)
scientific article; zbMATH DE number 6138376

    Statements

    On compact aspherical homogeneous manifolds of dimension \(\leq 7\) (English)
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    22 February 2013
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    The author classifies aspherical compact homogeneous manifolds of dimension less than or equal to \(7\). The main results concern the case of dimension \(7\). Explicit results are given for dimensions \(1\), \(2\), \(3\), \(4\), and \(7\), with much of the exposition of results devoted to this last case. For dimensions \(5\) and \(6\) the reader is referred to other papers by the author.
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    aspherical manifold
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    homogeneous manifold
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    Lie group
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    fiber bundle
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    solvmanifold
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    plesiocompactness
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    homotopy group
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