The Canonical Class and the Properties of Kähler Surfaces.
The closure of the space of homeomorphisms on a manifold. The piecewise linear case
The density problem for infinite dimensional group actions
Théorie du degré dans certains espaces de Fréchet d'après R. S. Hamilton
Topological groups and convex sets homeomorphic to non-separable Hilbert spaces
Let X be a topological group or a convex set in a linear metric space. We prove that X is homeomorphic to (a manifold modeled on) an infinite-dimensional Hilbert space if and only if X is a completely metrizable absolute (neighborhood) retract with ω-LFAP, the countable locally finite approximation property. The latter means that for any open cover of X there is a sequence of maps (f n: X → X)nεgw such that each f n is -near to the identity map of X and the family f n(X)n∈ω is locally finite...