Turning Borel sets into clopen sets effectively

• Autorzy: Vassilios Gregoriades
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03D55: Hierarchies
• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 219
• Numer: 2
• Strony: 119-143

Daty

wydano

2012

Twórcy

autor

Vassilios Gregoriades

• Arbeitsgruppe Logik, Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstraße 7, 64289 Darmstadt, Germany

Identyfikatory

DOI

10.4064/fm219-2-4