Geodesic
Turning Borel sets into clopen sets effectively
Vassilios Gregoriades1
1 Arbeitsgruppe Logik Fachbereich Mathematik Technische Universität Darmstadt Schloßgartenstraße 7 64289 Darmstadt, Germany
Fundamenta Mathematicae, Tome 219 (2012) no. 2, pp. 119-143.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present the effective version of the theorem about turning Borel sets in Polish spaces into clopen sets while preserving the Borel structure of the underlying space. We show that under some conditions the emerging parameters can be chosen in a hyperarithmetical way and using this we obtain some uniformity results.
DOI : 10.4064/fm219-2-4
Keywords: present effective version theorem about turning borel sets polish spaces clopen sets while preserving borel structure underlying space under conditions emerging parameters chosen hyperarithmetical using obtain uniformity results

Vassilios Gregoriades 1

1 Arbeitsgruppe Logik Fachbereich Mathematik Technische Universität Darmstadt Schloßgartenstraße 7 64289 Darmstadt, Germany 
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Vassilios Gregoriades. Turning Borel sets into clopen sets effectively. Fundamenta Mathematicae, Tome 219 (2012) no. 2, pp. 119-143. doi : 10.4064/fm219-2-4. http://geodesic.mathdoc.fr/articles/10.4064/fm219-2-4/

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