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Some applications of the Adams-Kechris technique

Gao, Su (2002) Some applications of the Adams-Kechris technique. Proceedings of the American Mathematical Society, 130 (3). pp. 863-874. ISSN 0002-9939. doi:10.1090/S0002-9939-01-06082-8.

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We analyze the technique used by Adams and Kechris (2000) to obtain their results about Borel reducibility of countable Borel equivalence relations. Using this technique, we show that every Σ_1^1 equivalence relation is Borel reducible to the Borel bi-reducibility of countable Borel equivalence relations. We also apply the technique to two other classes of essentially uncountable Borel equivalence relations and derive analogous results for the classification problem of Borel automorphisms.

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Additional Information:© 2001 American Mathematical Society. Received by editor(s): February 10, 2000. Received by editor(s) in revised form: August 13, 2000, and August 23, 2000. Published electronically: June 20, 2001. (Communicated by Carl G. Jockusch, Jr.)
Subject Keywords:Borel equivalence relations, Borel (bi-)reducibility
Issue or Number:3
Record Number:CaltechAUTHORS:20170408-140337226
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75911
Deposited By: 1Science Import
Deposited On:19 Apr 2017 18:34
Last Modified:15 Nov 2021 16:56

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