Journal of Symbolic Logic

A note on Hjorth's oscillation theorem

Julien Melleray

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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.

Article information

Source
J. Symbolic Logic Volume 75, Issue 4 (2010), 1359-1365.

Dates
First available in Project Euclid: 4 October 2010

Permanent link to this document
http://projecteuclid.org/euclid.jsl/1286198151

Digital Object Identifier
doi:10.2178/jsl/1286198151

Zentralblatt MATH identifier
05835170

Mathematical Reviews number (MathSciNet)
MR2767973

Citation

Melleray, Julien. A note on Hjorth's oscillation theorem. J. Symbolic Logic 75 (2010), no. 4, 1359--1365. doi:10.2178/jsl/1286198151. http://projecteuclid.org/euclid.jsl/1286198151.


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