On the global stable manifold

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dc.creatorAbbondandolo, Alberto
dc.creatorMajer, Pietro
dc.date2005-06-15
dc.date2005-09-28
dc.date.accessioned2026-07-07T06:34:20Z
dc.date.available2026-07-07T06:34:20Z
dc.descriptionWe 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.
dc.description18 pages, LaTeX2e file. Revised version (corrected typos, introduction slightly extended). To appear in Studia Mathematica
dc.identifierhttps://arxiv.org/abs/math/0506292
dc.identifierhttp://arxiv.org/abs/math/0506292
dc.identifierStudia Math. 177 (2006), 113-131.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99496
dc.subjectDynamical Systems
dc.subjectFunctional Analysis
dc.subject37D10; 46B20; 58B10
dc.titleOn the global stable manifold
dc.typetext

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