On the complexity of the isomorphism relation for fields of finite transcendence degree (Q5939827)
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scientific article; zbMATH DE number 1623300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complexity of the isomorphism relation for fields of finite transcendence degree |
scientific article; zbMATH DE number 1623300 |
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On the complexity of the isomorphism relation for fields of finite transcendence degree (English)
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29 October 2001
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Polish space
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free group
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Confirming a conjecture of \textit{G. Hjorth} and \textit{A. S. Kechris} [Ann. Pure Appl. Logic 82, 221-272 (1996; Zbl 0933.03056)], the authors prove that the isomorphism relation for fields of finite transcendence degree is a universal essentially countable Borel equivalence relation. NEWLINENEWLINENEWLINEThey also prove that the theory of fields of finite transcendence degree does not admit canonical models.
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