Macdonald, Henry L. and Kechris, Alexander S. (2016) Borel equivalence relations and cardinal algebras. Fundamenta Mathematicae, 235 . pp. 183-198. ISSN 0016-2736. doi:10.4064/fm242-4-2016. https://resolver.caltech.edu/CaltechAUTHORS:20161130-102008360
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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.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2016 Instytut Matematyczny PAN. Received 21 December 2015; revised 20 April 2016; Published online: 17 June 2016. Research partially supported by NSF Grant DMS-1464475. We would like to thank Simon Thomas for his help with Theorem 4.3. | |||||||||
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| Subject Keywords: | countable Borel equivalence relation, Borel reducibility, cardinal algebra | |||||||||
| Classification Code: | MSC: Primary 03E15; Secondary 28A05, 54H05 | |||||||||
| DOI: | 10.4064/fm242-4-2016 | |||||||||
| Record Number: | CaltechAUTHORS:20161130-102008360 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161130-102008360 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 72439 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 30 Nov 2016 19:32 | |||||||||
| Last Modified: | 11 Nov 2021 05:01 |
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