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