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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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Conditions for a pushforward of a involutive vector bundle to be involutive
This is proved in Problem 2.57 of ``Analysis and algebra on differentiable manifolds: a workbook for students and teachers (2012)''.
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Conditions for a pushforward of a involutive vector bundle to be involutive
I know that the following statement is true, but I would like to find a reference for it so I don't have to write the proof. Do you guys have a reference?
Let $\Omega$ and $\Omega'$ be smooth mani …