On hyper-Euclidean manifolds (Q2494098)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On hyper-Euclidean manifolds |
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On hyper-Euclidean manifolds (English)
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16 June 2006
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An open \(n\)-manifold \(X\) is called hyper-Euclidian if it admits a proper \(1\)-Lipschitz map \(p:X\to {\mathbb{R}}^n\) of degree one. The author shows that the universal cover of an aspherical manifold whose fundamental group has finite asymptotic dimension in the sense of Gromov is hyper-Euclidean after crossing with some Euclidean space.
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hyper-Euclidean manifolds
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aspherical manifolds
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universal cover
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