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Results tagged with vector-bundles
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user 80326
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.
3
votes
1
answer
915
views
Local diffeomorphism on a neighborhood of an embedding
In my reading of the (excellent!) paper of Grabowski and Rotkiewicz on higher vector bundles (https://arxiv.org/abs/math/0702772), I have encountered the following argument which I do not understand. …
- 113
17
votes
Vector bundles vs principal $G$-bundles
I believe you have answered this yourself. Principal bundles are trivial iff they admit a global smooth section. Vector bundles always admit a global smooth section (zero section).
Therefore vector …