Splitting principle
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 — Let be a vector bundle of rank over a paracompact space . There exists a space , called the flag bundle associated to , and a map such that
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Splitting principle
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 — Let be a vector bundle of rank over a paracompact space . There exists a space , called the flag bundle associated to , and a map such that
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Em matemática, o princípio de ...... o caso de fibrados de linhas.
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In mathematics, the splitting ...... the map in the above theorem.
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Em matemática, o princípio de ...... o caso de fibrados de linhas.
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In mathematics, the splitting ...... iated to , and a map such that
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Princípio de divisão
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Splitting principle
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