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Complete analytic equivalence relations |
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| Authors: | Alain Louveau Christian Rosendal |
| Institution: | Equipe d'Analyse Fonctionnelle, Institut de Mathématiques, Université Pierre et Marie Curie - Paris 6, Boîte 186, 4 Place Jussieu, 75252 Paris Cedex 05, France ; Equipe d'Analyse Fonctionnelle, Institut de Mathématiques, Université Pierre et Marie Curie - Paris 6, Boîte 186, 4 Place Jussieu, 75252 Paris Cedex 05, France |
| Abstract: | We prove that various concrete analytic equivalence relations arising in model theory or analysis are complete, i.e. maximum in the Borel reducibility ordering. The proofs use some general results concerning the wider class of analytic quasi-orders. |
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