Title of article :
A group of isometries with non-closed orbits
Author/Authors :
Abels، نويسنده , , H. and Manoussos، نويسنده , , A.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2012
Abstract :
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.
Keywords :
Smooth orbit equivalence relation , Group of isometries , proper action
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications