Cofinal families of Borel equivalence relations and quasiorders

Journal of Symbolic Logic 70 (4):1325-1340 (2005)

Abstract

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 Kσ complete

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Universal Subgroups of Polish Groups.Konstantinos A. Beros - 2014 - Journal of Symbolic Logic 79 (4):1148-1183.
Homomorphism Reductions on Polish Groups.Konstantinos A. Beros - 2018 - Archive for Mathematical Logic 57 (7-8):795-807.

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