On the global stable manifold
Volume 177 / 2006
Studia Mathematica 177 (2006), 113-131
MSC: 37D10, 46B20, 58B10.
DOI: 10.4064/sm177-2-2
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.
