Stiefel-Whitney class: Difference between revisions
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==Definition== | ==Definition== | ||
The '''Stiefel-Whitney class''' associated to an oriented, real vector bundle of dimension <math>r</math> over a [[differential manifold]] is a sum of characteristic classes in dimensions <math>i</math>, where <math>0 \le i \le r</math>, | The '''Stiefel-Whitney class''' associated to an oriented, real vector bundle of dimension <math>r</math> over a [[differential manifold]] is a sum of characteristic classes in dimensions <math>i</math>, where <math>0 \le i \le r</math>, with coefficients in <math>\mathbb{Z}/2\mathbb{Z}</math>. | ||
Revision as of 23:51, 13 December 2007
This article defines a characteristic class
Definition
The Stiefel-Whitney class associated to an oriented, real vector bundle of dimension over a differential manifold is a sum of characteristic classes in dimensions , where , with coefficients in .
