Some applications of transversality for infinite dimensional manifolds
Abstract
We present some transversality results for a category of Fr\'echet manifolds, the so-called MCk-Fr\'echet manifolds. In this context, we apply the obtained transversality results to construct the degree of nonlinear Fredholm mappings by virtue of which we prove a rank theorem, an invariance of domain theorem and a Bursuk-Ulam type theorem.
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