Turning Borel sets into clopen sets effectively
Logic
2012-04-02 v1
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 prove a uniformity result.
Cite
@article{arxiv.1203.6874,
title = {Turning Borel sets into clopen sets effectively},
author = {Vassilios Gregoriades},
journal= {arXiv preprint arXiv:1203.6874},
year = {2012}
}