Splitting Principle
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Splitting Principle

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the splitting principle is a technique used to reduce questions about vector bundles to the case of line bundles. In the theory of vector bundles, one often wishes to simplify computations, say of Chern classes. Often computations are well understood for line bundles and for direct sums of line bundles. In this case the splitting principle can be quite useful. Theorem: Splitting Principle: Let xicolon Erightarrow X be a vector bundle of rank n over a m...