Detecting Hilbert manifolds among isometrically homogeneous metric spaces
arXiv:0908.4205 · doi:10.1016/j.topol.2010.02.012
Abstract
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.
12 pages