2012/03/30 by Vassilios Gregoriades, Gregoriades, Vassilios
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO
paper · pdf · doi:10.48550/arxiv.1203.6874
arxiv created 2012/03/30 · arxiv updated 2012/04/02
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 prove a uniformity result.