Vector bundles on loop spaces of spheres (Q1183075)
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scientific article; zbMATH DE number 32676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vector bundles on loop spaces of spheres |
scientific article; zbMATH DE number 32676 |
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Vector bundles on loop spaces of spheres (English)
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28 June 1992
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It is shown that for \(m>2\) any vector bundle over \(\Omega S^{m+1}\) is stably trivial. Examples of non-trivial such vector bundles are constructed using certain non-vanishing products in the stable homotopy groups of spheres.
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\(K\)-theory
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loop space
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vector bundle
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