Some applications of transversality for infinite dimensional manifolds
Differential Geometry
2021-10-01 v2
Abstract
We present some transversality results for a category of Fr\'{e}chet manifolds, the so-called -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.
Keywords
Cite
@article{arxiv.2101.09208,
title = {Some applications of transversality for infinite dimensional manifolds},
author = {Kaveh Eftekharinasab},
journal= {arXiv preprint arXiv:2101.09208},
year = {2021}
}