Borel equivalence relations and cardinal algebras
Volume 235 / 2016
Fundamenta Mathematicae 235 (2016), 183-198
MSC: Primary 03E15; Secondary 28A05, 54H05.
DOI: 10.4064/fm242-4-2016
Published online: 17 June 2016
Abstract
We show that Tarski’s concept of cardinal algebra appears naturally in the context of the current theory of Borel equivalence relations. As a result one can apply Tarski’s theory to discover a number of interesting laws governing the structure of Borel equivalence relations, which, in retrospect rather surprisingly, have not been realized before.
