On the global stable manifold

Alberto Abbondandolo; Pietro Majer

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On the global stable manifold

Alberto Abbondandolo·Pietro Majer

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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.

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Alberto Abbondandolo, Pietro Majer. 2005-09-28. On the global stable manifold. https://arxiv.org/abs/math/0506292

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