Turning Borel sets into clopen sets effectively
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.
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
Affiliations des auteurs :
Vassilios Gregoriades 1
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author = {Vassilios Gregoriades},
title = {Turning {Borel} sets into clopen sets effectively},
journal = {Fundamenta Mathematicae},
pages = {119--143},
publisher = {mathdoc},
volume = {219},
number = {2},
year = {2012},
doi = {10.4064/fm219-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm219-2-4/}
}
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
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