Detecting Hilbert manifolds among isometrically homogeneous metric spaces
classification
🧮 math.GT
math.MG
keywords
hilberthomogeneousmanifoldsspacesisometricallymetricapplybalanced
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We detect Hilbert manifolds among isometrically homogeneous metric spaces and apply the obtained results to recognizing Hilbert manifolds among homogeneous spaces of the form G/H where G is a metrizable topological group and H is a closed balanced subgroup of G.
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