A group of isometries with non-closed orbits
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🧮 math.DS
math.GN
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groupisometriesanswersclosedcompletecomponentsconnectedexample
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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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