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Some dichotomy theorems for isomorphism relations of countable models

Published online by Cambridge University Press:  12 March 2014

Su Gao
Su Gao*
Affiliation:
Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90024, USA
*
Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA, E-mail: sugao@its.caltech.edu
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Abstract

Strengthening known instances of Vaught Conjecture, we prove the Glimm-Effros dichotomy theorems for countable linear orderings and for simple trees. Corollaries of the theorems answer some open questions of Friedman and Stanley in an Lω1ω-interpretability theory. We also give a survey of this theory.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 2 , June 2001 , pp. 902 - 922
Copyright
Copyright © Association for Symbolic Logic 2001

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References

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