Vector Bundles - IU
Vector Bundles 1 Vector Bundles and maps The study of vector bundles is the study of parameterized linear algebra. De nition 1. A vector bundle is a map ˇ: E!Btogether with a vector space structure on ˇ 1bfor each b2Bso that for every x2Bthere is a neighborhood Uand a k2Z 0, a homeomorphism ˚: ˇ 1U!U Rk so that there is a commutative ...
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