Detecting Hilbert manifolds among isometrically homogeneous metric spaces
Geometric Topology
2011-08-23 v2 Metric Geometry
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.
Keywords
Cite
@article{arxiv.0908.4205,
title = {Detecting Hilbert manifolds among isometrically homogeneous metric spaces},
author = {Taras Banakh and Dusan Repovs},
journal= {arXiv preprint arXiv:0908.4205},
year = {2011}
}
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12 pages