Titlebook: Basic Bundle Theory and K-Cohomology Invariants; D. Husem?ller,M. Joachim,M. Schottenloher Book 2008 Springer-Verlag Berlin Heidelberg 200

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Generalities on Bundles and Categoriesuse the term bundle in the most general context, and then in the next chapters, we define the main concepts of our study, that is, vector bundles, principal bundles, and fibre bundles, as bundles with additional structure.

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Vector Bundles complex finite dimensional vector space . and make . the fibre of a bundle over ., where each fibre is isomorphic to this vector space. The simplest way to do this is to form the product . and the projection .. : . onto the first factor. This is the product vector bundle with base . and fibre ..

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狗窩

Basic Characteristic Classesace. It was natural to try and make calculations with bundles in terms of cohomology for two reasons. With homology and cohomology, there were combinatorial tools for computation. Then, cohomology and bundles each had contravariant properties under continuous mappings. The first definitions of chara

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