A group of isometries with non-closed orbits

Details A group of isometries with non-closed orbits A group of isometries with non-closed orbits

2009-10-25

arxiv.org/abs/0910.4717v1

Mathematics

Dynamical Systems

4 pages

Scientific paper

In this note we give an example of a one-dimensional manifold with two
connected components and a complete metric whose group of isometries has an
orbit which is not closed. This answers a question of S. Gao and A. S. Kechris.

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