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

Armas-Gómez, S., et al. "Embedding of a Urysohn differentiable manifold with corners in a real Banach space." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1993. [143]-152. <http://eudml.org/doc/221142>.

@inProceedings{Armas1993,
abstract = {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 space, $X$, is a Hilbert $C^\infty $-manifold without boundary if and only if $X$ is homeomorphic to $A$, where $A$ is a $C^\infty $-retract of an open set of a real Hilbert space.},
author = {Armas-Gómez, S., Margalef-Roig, J., Outerolo-Domínguez, E., Padrón-Fernández, E.},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Srní (Czechoslovakia); Physics},
location = {Palermo},
pages = {[143]-152},
publisher = {Circolo Matematico di Palermo},
title = {Embedding of a Urysohn differentiable manifold with corners in a real Banach space},
url = {http://eudml.org/doc/221142},
year = {1993},
}

TY - CLSWK
AU - Armas-Gómez, S.
AU - Margalef-Roig, J.
AU - Outerolo-Domínguez, E.
AU - Padrón-Fernández, E.
TI - Embedding of a Urysohn differentiable manifold with corners in a real Banach space
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1993
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [143]
EP - 152
AB - 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 space, $X$, is a Hilbert $C^\infty $-manifold without boundary if and only if $X$ is homeomorphic to $A$, where $A$ is a $C^\infty $-retract of an open set of a real Hilbert space.
KW - Proceedings; Geometry; Srní (Czechoslovakia); Physics
UR - http://eudml.org/doc/221142
ER -