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Embedding of a Urysohn differentiable manifold with corners in a real Banach space

Armas-Gómez, S.; Margalef-Roig, J.; Outerolo-Domínguez, E.; Padrón-Fernández, E. — 1993

Proceedings of the Winter School "Geometry and Physics"

Summary: We prove a characterization of the immersions in the context of infinite dimensional manifolds with corners, we prove that a Hausdorff paracompact $C^{p}$ -manifold whose charts are modelled over real Banach spaces which fulfil the Urysohn $C^{p}$ -condition can be embedded in a real Banach space, $E$ , by means of a closed embedding, $f$ , such that, locally, its image is a totally neat submanifold of a quadrant of a closed vector subspace of $E$ and finally we prove that a Hausdorff paracompact topological...

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