An approximation theorem for equivariant loop spaces in the compact Lie case (Q1064579)
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scientific article; zbMATH DE number 3919352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An approximation theorem for equivariant loop spaces in the compact Lie case |
scientific article; zbMATH DE number 3919352 |
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An approximation theorem for equivariant loop spaces in the compact Lie case (English)
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1985
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Let V be a real orthogonal countable-dimensional representation for the Lie group G and let \(\Omega^ V\Sigma^ VX\) be the space of maps \(S^ V\to \Sigma^ VX\) where X is a G-space with stationary base-point. The authors give an approximation for the fix-set \((\Omega^ V\Sigma^ VX)^ G\), the space of G-equivariant maps, in the stable case.
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unit sphere of a representation
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stable equivariant homotopy groups
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