Cofinal families of Borel equivalence relations and quasiorders

Rosendal, Christian

J. Symbolic Logic, Tome 70 (2005) no. 1, p. 1325-1340 / Harvested from Project Euclid

Résumé

Families of Borel equivalence relations and quasiorders that are cofinal with respect to the Borel reducibility ordering, ≤_B, are constructed. There is an analytic ideal on ω generating a complete analytic equivalence relation and any Borel equivalence relation reduces to one generated by a Borel ideal. Several Borel equivalence relations, among them Lipschitz isomorphism of compact metric spaces, are shown to be K_σ complete.

Publié le : 2005-12-14
Classification:

@article{1129642127,
     author = {Rosendal, Christian},
     title = {Cofinal families of Borel equivalence relations and quasiorders},
     journal = {J. Symbolic Logic},
     volume = {70},
     number = {1},
     year = {2005},
     pages = { 1325-1340},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1129642127}
}

Rosendal, Christian. Cofinal families of Borel equivalence relations and quasiorders. J. Symbolic Logic, Tome 70 (2005) no. 1, pp.  1325-1340. http://gdmltest.u-ga.fr/item/1129642127/