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Results tagged with vector-bundles
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user 157138
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.
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Vertical bundles of higher order tangent bundles
Let $M$ be a smooth (finite dimensional, Hausdorff and second countable) manifold. Let $T^kM$ be the manifold of equivalence class of curves that their derivates (in charts) agree up to order $k$. Let …
- 203
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Local triviality condition in vector bundles [closed]
Let $E$ and $M$ be smooth manifolds (of finite dimension, Hausdorff and second countable). Let $\pi:E\longrightarrow M$ be a surjective submersion such that:
$E_p:=\pi^{-1}(p)$ is a real vector space …
- 203