Torunczyk, H. Characterizing Hilbert space topology. (English) Zbl 0468.57015 Fundam. Math. 111, 247-262 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 ReviewsCited in 92 Documents MSC: 57N20 Topology of infinite-dimensional manifolds 54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) 58B05 Homotopy and topological questions for infinite-dimensional manifolds 46B03 Isomorphic theory (including renorming) of Banach spaces 46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) Keywords:Hilbert manifold; Frechet space; Hilbert cube; topological characterization of Hilbert spaces of all infinite dimensions; complete metric ANR; Hilbert cube manifolds PDF BibTeX XML Cite \textit{H. Torunczyk}, Fundam. Math. 111, 247--262 (1981; Zbl 0468.57015) Full Text: DOI EuDML