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A Note on Hjorth's oscillation theorem

Published online by Cambridge University Press:  12 March 2014

Julien Melleray
Julien Melleray*
Affiliation:
Université de Lyon, CNRS, Université Lyon 1, Institut Camille Jordan, 43 Blvd Du 11 Novembre 1918, F-69622 Villeurbanne-Cedex, France. E-mail: melleray@math.univ-lyonl.fr
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Abstract

We reformulate, in the context of continuous logic, an oscillation theorem proved by G. Hjorth and give a proof of the theorem in that setting which is similar to, but simpler than, Hjorth's original one. The point of view presented here clarifies the relation between Hjorth's theorem and first-order logic.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 4 , December 2010 , pp. 1359 - 1365
Copyright
Copyright © Association for Symbolic Logic 2010

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References

REFERENCES

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