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arXiv · 2101.09208

Some applications of transversality for infinite dimensional manifolds

Kaveh Eftekharinasab
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Abstract

We present some transversality results for a category of Fr\'{e}chet manifolds, the so-called $MC^k$-Fr\'{e}chet 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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Kaveh Eftekharinasab. 2021-01-22. Some applications of transversality for infinite dimensional manifolds. https://doi.org/10.15673/tmgc.v14i2.1939

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