Turning Borel sets into clopen sets effectively
Fundamenta Mathematicae (2012)
- Volume: 219, Issue: 2, page 119-143
- ISSN: 0016-2736
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topVassilios Gregoriades. "Turning Borel sets into clopen sets effectively." Fundamenta Mathematicae 219.2 (2012): 119-143. <http://eudml.org/doc/283033>.
@article{VassiliosGregoriades2012,
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.},
author = {Vassilios Gregoriades},
journal = {Fundamenta Mathematicae},
keywords = {turning Borel sets into clopen sets; extension of a Polish topology; hyperarithmetical points; uniformity results},
language = {eng},
number = {2},
pages = {119-143},
title = {Turning Borel sets into clopen sets effectively},
url = {http://eudml.org/doc/283033},
volume = {219},
year = {2012},
}
TY - JOUR
AU - Vassilios Gregoriades
TI - Turning Borel sets into clopen sets effectively
JO - Fundamenta Mathematicae
PY - 2012
VL - 219
IS - 2
SP - 119
EP - 143
AB - 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.
LA - eng
KW - turning Borel sets into clopen sets; extension of a Polish topology; hyperarithmetical points; uniformity results
UR - http://eudml.org/doc/283033
ER -
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