Analytic partial orders and oriented graphs
Alain Louveau
Fundamenta Mathematicae, Tome 189 (2006), p. 233-243 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:282777
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     author = {Alain Louveau},
     title = {Analytic partial orders and oriented graphs},
     journal = {Fundamenta Mathematicae},
     volume = {189},
     year = {2006},
     pages = {233-243},
     zbl = {1112.03043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-3-3}
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Alain Louveau. Analytic partial orders and oriented graphs. Fundamenta Mathematicae, Tome 189 (2006) pp. 233-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-3-3/