A note on Hjorth's oscillation theorem

Details A note on Hjorth's oscillation theorem A note on Hjorth's oscillation theorem

2009-07-02

arxiv.org/abs/0907.0402v1

Mathematics

Functional Analysis

Scientific paper

We reformulate, in the context of continuous logic, an oscillation theorem
originally proved by G. Hjorth. We 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.

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