Geodesic
Borel equivalence relations and cardinal algebras
Alexander S. Kechris1 ; Henry L. Macdonald2
1Department of Mathematics California Institute of Technology Pasadena, CA 91125, U.S.A.
2Mathematics Department Occidental College (M-15) 1600 Campus Rd Los Angeles, CA 90041-3314, U.S.A.
Fundamenta Mathematicae, Tome 235 (2016) no. 2, pp. 183-198
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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.
DOI : 10.4064/fm242-4-2016
Keywords: tarski concept cardinal algebra appears naturally context current theory borel equivalence relations result apply tarski theory discover number interesting laws governing structure borel equivalence relations which retrospect rather surprisingly have realized before

Alexander S. Kechris  1   ; Henry L. Macdonald  2

1 Department of Mathematics California Institute of Technology Pasadena, CA 91125, U.S.A.
2 Mathematics Department Occidental College (M-15) 1600 Campus Rd Los Angeles, CA 90041-3314, U.S.A. 
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Alexander S. Kechris; Henry L. Macdonald. Borel equivalence relations and cardinal algebras. Fundamenta Mathematicae, Tome 235 (2016) no. 2, pp. 183-198. doi: 10.4064/fm242-4-2016

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