Published June 17, 2016
| Version Submitted
Journal Article
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Borel equivalence relations and cardinal algebras
Creators
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.
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.Attached Files
Submitted - cardinal_algebras.pdf
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cardinal_algebras.pdf
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Additional details
Identifiers
- Eprint ID
- 72439
- DOI
- 10.4064/fm242-4-2016
- Resolver ID
- CaltechAUTHORS:20161130-102008360
Related works
- Describes
- 10.4064/fm242-4-2016 (DOI)
Funding
- NSF
- DMS-1464475
Dates
- Created
-
2016-11-30Created from EPrint's datestamp field
- Updated
-
2021-11-11Created from EPrint's last_modified field