On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds
A space \(X\) is called \(W\)-trivial if for every vector bundle \(\xi\) over \(X\), the total Stiefel-Whitney class \(W(\xi)= 1\). In this article we shall investigate whether the suspensions of Dold manifolds, \(\s^k D(m,n)\), is \(W\)-trivial or not.
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| Veröffentlicht in: | arXiv.org 2012-09 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | A space \(X\) is called \(W\)-trivial if for every vector bundle \(\xi\) over \(X\), the total Stiefel-Whitney class \(W(\xi)= 1\). In this article we shall investigate whether the suspensions of Dold manifolds, \(\s^k D(m,n)\), is \(W\)-trivial or not. |
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| ISSN: | 2331-8422 |
| DOI: | 10.48550/arxiv.1209.2261 |