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Characterizing Hilbert space topology. (English) Zbl 0468.57015

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)
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