A correction of two papers concerning Hilbert manifolds
A general approximation theorem for Hilbert cube manifolds
A generalization of Steenrod’s approximation theorem
In this paper we aim for a generalization of the Steenrod Approximation Theorem from [16, Section 6.7], concerning a smoothing procedure for sections in smooth locally trivial bundles. The generalization is that we consider locally trivial smooth bundles with a possibly infinite-dimensional typical fibre. The main result states that a continuous section in a smooth locally trivial bundles can always be smoothed out in a very controlled way (in terms of the graph topology on spaces of continuous...
Absolute Z-sets
An embedding theorem of infinite-dimensional manifold pairs in the model space
Arithmetic groups of gauge transformations.
Banachian Differentiable Spaces.
Canonical Lipschitz structures on compact Hilbert cube manifolds
Caractérisation topologique de l'espace des fonctions dérivables
Central extensions of infinite-dimensional Lie groups
The main result of the present paper is an exact sequence which describes the group of central extensions of a connected infinite-dimensional Lie group by an abelian group whose identity component is a quotient of a vector space by a discrete subgroup. A major point of this result is that it is not restricted to smoothly paracompact groups and hence applies in particular to all Banach- and Fréchet-Lie groups. The exact sequence encodes in particular precise obstructions for a given Lie algebra...
Characterizing Hilbert space topology
Characterizing infinite dimensional manifolds topologically
Concerning locally homotopy negligible sets and characterization of -manifolds
De Rham-Hodge-Kodaira decomposition in ...-dimensions.
Differentiable manifolds with generalized boundary
Embeddings, isotopy and stability of Banach manifolds
Homological characterization of boundary set complements
Homotopic homeomorphisms of infinite-dimensional manifolds
L'invariance topologique du type simple d'homotopie
Locally flat embeddings of Hilbert cubes are flat