On the global stable manifold

• Autores: Alberto Abbondandolo, Pietro Majer
• Localización: Studia mathematica, ISSN 0039-3223, Vol. 177, Nº 2, 2006, págs. 113-131
• Idioma: inglés
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• Resumen

  • 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.