Gromov-Hausdorff convergence to nonmanifolds (Q1904560)
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scientific article; zbMATH DE number 828778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gromov-Hausdorff convergence to nonmanifolds |
scientific article; zbMATH DE number 828778 |
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Gromov-Hausdorff convergence to nonmanifolds (English)
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6 May 1996
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We construct sequences of 7-spheres in Gromov-Hausdorff space converging to non-manifolds. The manifolds in these sequences have a common contractibility function. There are two main classes of examples -- examples for which the limit is an infinite dimensional space of finite cohomological dimension and examples for which the limit is a finite- dimensional ANR homology manifold.
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cell-like map
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sequences of 7-spheres in Gromov-Hausdorff space
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contractibility function
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infinite dimensional space of finite cohomological dimension
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homology manifold
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