Article ID Journal Published Year Pages File Type
4659050 Topology and its Applications 2013 7 Pages PDF
Abstract

It is known that for every second countable locally compact group G, there exists a proper G-invariant metric which induces the topology of the group. This is no longer true for coset spaces G/H viewed as G-spaces. We study necessary and sufficient conditions which ensure the existence of such metrics on G/H.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology