Geodesic
Analytic partial orders and oriented graphs
Alain Louveau1
1Institut de Mathématiques de Jussieu Analyse Fonctionnelle, boîte 186 Université Paris 6 4 Place Jussieu F-75252 Paris Cedex 05, France
Fundamenta Mathematicae, Tome 192 (2006) no. 3, pp. 233-243
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We prove that there is no maximum element, under Borel reducibility, in the class of analytic partial orders and in the class of analytic oriented graphs. We also provide a natural jump operator for these two classes.
DOI : 10.4064/fm192-3-3
Keywords: prove there maximum element under borel reducibility class analytic partial orders class analytic oriented graphs provide natural jump operator these classes

Alain Louveau  1

1 Institut de Mathématiques de Jussieu Analyse Fonctionnelle, boîte 186 Université Paris 6 4 Place Jussieu F-75252 Paris Cedex 05, France 
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Alain Louveau. Analytic partial orders and oriented graphs. Fundamenta Mathematicae, Tome 192 (2006) no. 3, pp. 233-243. doi: 10.4064/fm192-3-3

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