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Results tagged with fibre-bundles
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user 32022
for questions about fiber bundles, including structure groups, principal bundles, and spaces of sections.
6
votes
A $\mathbb{R}^{n}$ -fiber bundle which do not admit a n-dimensional vector bundle structure
Yes, there a lots of them.
The topological tangent bundle $\tau$ of any topological non-smoothable manifold $M$ gives you an example since a vector bundle reduction of $\tau$ is by smoothing theory …
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