Some applications of transversality for infinite dimensional manifolds
| Autor: | Eftekharinasab, Kaveh |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Proceedings of the International Geometry Center, Vol. 14, No. 121 (2021) 137-153 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.15673/tmgc.v14i2.1939 |
| Popis: | 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. |
| Databáze: | arXiv |
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