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Results tagged with vector-bundles
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user 3901
A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bundles.
2
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Accepted
Is a fibre bundle over a vector bundle trivializable on each fibre?
If $E \to M$ is a vector bundle then it is a weak equivalence. (being a vector bundle means it is a fibration and then look at the LES in homotopy and as Somnath points out the fiber is contractible.) …
- 3,726
2
votes
Vanishing of Euler class
You might want to take a look at Milnor and Stasheff. In section 9, oriented bundles and the euler class, they prove that if a bundle has a nowhere zero section then the euler class of that bundle is …
- 3,726