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.

On the global stable manifold

ABBONDANDOLO, ALBERTO;MAJER, PIETRO
2006

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.
Abbondandolo, Alberto; Majer, Pietro
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/181148
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