Borel equivalence relations and cardinal algebras

Alexander S. Kechris, Henry L. Macdonald
2016 Fundamenta Mathematicae  
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. 2010 Mathematics Subject Classification: Primary 03E15; Secondary 28A05, 54H05.
doi:10.4064/fm242-4-2016 fatcat:mmpuer62ovbrzic5dfzi2mu2ie