Structure of homogeneous locally compact spaces with intrinsic metric (Q909257)
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scientific article; zbMATH DE number 4136927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure of homogeneous locally compact spaces with intrinsic metric |
scientific article; zbMATH DE number 4136927 |
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Structure of homogeneous locally compact spaces with intrinsic metric (English)
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1989
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The topological characteristic of a homogeneous locally compact space M with intrinsic metric \(\rho\) is given. Such a space is a manifold if and only if it is locally contractible. In the general case M is represented as a projective limit of a sequence of homogeneous manifolds \(M_ n\) with an intrinsic metric \(\rho_ n\).
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compact topological group
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intrinsic metric
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projective limit
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