Canonical Lipschitz structures on compact Hilbert cube manifolds
Characterizing Hilbert space topology
Characterizing Hilbert space topology in terms of strong negligibility
Characterizing infinite dimensional manifolds topologically
Characterizing metric spaces whose hyperspaces are homeomorphic to ℓ₂
It is shown that the hyperspace (resp. ) of non-empty closed (resp. closed and bounded) subsets of a metric space (X,d) is homeomorphic to ℓ₂ if and only if the completion X̅ of X is connected and locally connected, X is topologically complete and nowhere locally compact, and each subset (resp. each bounded subset) of X is totally bounded.
Classification of function spaces with the pointwise topology determined by a countable dense set
Compact absolute retracts as factors of the Hilbert space
Connecting direct limit topologies with metrics on infinite-dimensional manifolds
Connections on infinite dimensional manifolds with corners
Contractibilité du groupe linéaire des espaces de Hilbert de dimension infinie
Cross-sections of solution funnels in Banach spaces