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
• DOI: 10.4064/sm177-2-2
• Texto completo no disponible (Saber más ...)
• 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.