A group of isometries with non-closed orbits

Abels H, Manoussos A (2012)
Topology and its applications 159(17): 3638-3639.

Journal Article | Published | English

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Abstract
In this note we give an example of a one-dimensional manifold with twoconnected components and a complete metric whose group of isometries has anorbit which is not closed. This answers a question of S. Gao and A. S. Kechris.
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Abels H, Manoussos A. A group of isometries with non-closed orbits. Topology and its applications. 2012;159(17):3638-3639.
Abels, H., & Manoussos, A. (2012). A group of isometries with non-closed orbits. Topology and its applications, 159(17), 3638-3639.
Abels, H., and Manoussos, A. (2012). A group of isometries with non-closed orbits. Topology and its applications 159, 3638-3639.
Abels, H., & Manoussos, A., 2012. A group of isometries with non-closed orbits. Topology and its applications, 159(17), p 3638-3639.
H. Abels and A. Manoussos, “A group of isometries with non-closed orbits”, Topology and its applications, vol. 159, 2012, pp. 3638-3639.
Abels, H., Manoussos, A.: A group of isometries with non-closed orbits. Topology and its applications. 159, 3638-3639 (2012).
Abels, Herbert, and Manoussos, Antonios. “A group of isometries with non-closed orbits”. Topology and its applications 159.17 (2012): 3638-3639.
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