A+ CATEGORY SCIENTIFIC UNIT

Turning Borel sets into clopen sets effectively

Volume 219 / 2012

Vassilios Gregoriades Fundamenta Mathematicae 219 (2012), 119-143 MSC: Primary 03E15, 54H05, 03D55. DOI: 10.4064/fm219-2-4

Abstract

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.

Authors

  • Vassilios GregoriadesArbeitsgruppe Logik
    Fachbereich Mathematik
    Technische Universität Darmstadt
    Schloßgartenstraße 7
    64289 Darmstadt, Germany
    e-mail

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