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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

2 votes
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Is keeping the kernel fixed an open condition for maps of vector bundles?

More precisely, let $M$ be a smooth manifold, $E_1$, $E_2$ vector bundles over $M$, and consider a $C^\infty(M)$-linear map $A:\Gamma(E_1) \to \Gamma(E_2)$ of vector bundles. Now consider the subspac …