On a \(p\)-local stable splitting of Stiefel manifolds (Q1396390)
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scientific article; zbMATH DE number 1943290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a \(p\)-local stable splitting of Stiefel manifolds |
scientific article; zbMATH DE number 1943290 |
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On a \(p\)-local stable splitting of Stiefel manifolds (English)
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30 June 2003
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By introducing a filtration on Stiefel manifolds, \textit{H. Miller} proved that the Stiefel manifolds are stably equivalent to a wedge of Thom spaces corresponding to the strata of the filtration which are vector bundles. In this paper, the author uses Adams operations to generalize the above result and prove a finer \(p\)-local stable splitting of the Stiefel manifolds.
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stable splitting
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Pontryagin-Thom construction
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Adams operation
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