(Odesa National University of Technology, 2022-05) Kaveh, Eftekharinasab; Ефтехарінасаб, Кавех Ахмадалі
We present some transversality theorems and their applications for Frechet manifolds. By using this approach, we construct the degree of nonlinear Fredholm mappings. Furthermore, we prove a rank theorem, an invariance of domain theorem and a Bursuk-Ulam theorem.