Characterizing Hilbert space topology

H. Toruńczyk

Displaying similar documents to “Characterizing Hilbert space topology”

On CE-images of the Hubert cube and characterization of Q-manifolds

H. Toruńczyk (1980)

Fundamenta Mathematicae

Similarity:

A correction of two papers concerning Hilbert manifolds

H. Toruńczyk (1985)

Fundamenta Mathematicae

Similarity:

Characterizing Hilbert space topology in terms of strong negligibility

Jan J. Dijkstra (1990)

Compositio Mathematica

Similarity:

Topological groups and convex sets homeomorphic to non-separable Hilbert spaces

Taras Banakh, Igor Zarichnyy (2008)

Open Mathematics

Similarity:

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 $𝒰$ of X there is a sequence of maps (f n: X → X)nεgw such that each f n is $𝒰$ -near to the identity map of X and the family f n(X)n∈ω is locally...