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Vaught's conjecture and the Glimm-Effros property for Polish transformation groups |
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| Authors: | Greg Hjorth Slawomir Solecki |
| Affiliation: | Department of Mathematics, 253--37, California Institute of Technology, Pasadena, California 91125 ; Department of Mathematics, Indiana University, Bloomington, Indiana 47405 |
| Abstract: | We extend the original Glimm-Effros theorem for locally compact groups to a class of Polish groups including the nilpotent ones and those with an invariant metric. For this class we thereby obtain the topological Vaught conjecture. |
| Keywords: | Polish group orbit equivalence relation |
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