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module of sections of the horizontal bundle
Some times ago I posted this question here. There I carelessly assumed that if you have a set of sections of a vector bundle which span every fiber pointwise, they also generate the module of smooth...
View ArticleAnswer by Michael Bächtold for module of sections of the horizontal bundle
There is a result (for which I don't recall a reference, but you might prove it maybe with the smooth Serre-Swan theorem. See for example Nestruev, Smooth manifolds and observables), which says that...
View ArticleAnswer by student for module of sections of the horizontal bundle
For those who are interested I give here a slightly more detailed version of Michael's answer.First note that $T\pi|_{HP} \colon HP \to TB$ is a vector bundle map covering $\pi \colon P \to B$ and a...
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