Una nota sobre un teorema de H. H. Corson.
Embedding of Hilbert manifolds with smooth boundary into semispaces of Hilbert spaces
In this paper we prove the existence of a closed neat embedding of a Hausdorff paracompact Hilbert manifold with smooth boundary into , where is a Hilbert space, such that the normal space in each point of a certain neighbourhood of the boundary is contained in . Then, we give a neccesary and sufficient condition that a Hausdorff paracompact topological space could admit a differentiable structure of class with smooth boundary.
Connections on infinite dimensional manifolds with corners
Embedding of a Urysohn differentiable manifold with corners in a real Banach space
Summary: We prove a characterization of the immersions in the context of infinite dimensional manifolds with corners, we prove that a Hausdorff paracompact -manifold whose charts are modelled over real Banach spaces which fulfil the Urysohn -condition can be embedded in a real Banach space, , by means of a closed embedding, , such that, locally, its image is a totally neat submanifold of a quadrant of a closed vector subspace of and finally we prove that a Hausdorff paracompact topological...
Transversality on manifolds with corners
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