On the global stable manifold
Dynamical Systems
2007-05-23 v2 Functional Analysis
Abstract
We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Banach setting gives rise to subtle questions about the possibility of extending germs of diffeomorphisms.
Keywords
Cite
@article{arxiv.math/0506292,
title = {On the global stable manifold},
author = {Alberto Abbondandolo and Pietro Majer},
journal= {arXiv preprint arXiv:math/0506292},
year = {2007}
}
Comments
18 pages, LaTeX2e file. Revised version (corrected typos, introduction slightly extended). To appear in Studia Mathematica