Detecting Hilbert manifolds among isometrically homogeneous metric spaces

Details Detecting Hilbert manifolds among isometrically homogeneous metric spaces Detecting Hilbert manifolds among isometrically homogeneous metric spaces

2009-08-28

arxiv.org/abs/0908.4205v2

Topology Appl.157:7 (2010), 1202-1210

Mathematics

Geometric Topology

12 pages

Scientific paper

10.1016/j.topol.2010.02.012

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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