## Journal of Symbolic Logic

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

### A note on Hjorth's oscillation theorem

#### 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

**Mathematical Reviews number (MathSciNet)**

MR2767973

**Zentralblatt MATH identifier**

05835170

#### 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.