Effective decomposition of σ-continuous Borel functions

Gabriel Debs. "Effective decomposition of σ-continuous Borel functions." Fundamenta Mathematicae 224.2 (2014): 187-202. <http://eudml.org/doc/283173>.

@article{GabrielDebs2014,
abstract = {We prove that if a Δ¹₁ function f with Σ¹₁ domain X is σ-continuous then one can find a Δ¹₁ covering $(Aₙ)_\{n∈ω\}$ of X such that $f_\{|Aₙ\}$ is continuous for all n. This is an effective version of a recent result by Pawlikowski and Sabok, generalizing an earlier result of Solecki.},
author = {Gabriel Debs},
journal = {Fundamenta Mathematicae},
keywords = {-continuous; Borel functions; Wadge classes; product spaces},
language = {eng},
number = {2},
pages = {187-202},
title = {Effective decomposition of σ-continuous Borel functions},
url = {http://eudml.org/doc/283173},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Gabriel Debs
TI - Effective decomposition of σ-continuous Borel functions
JO - Fundamenta Mathematicae
PY - 2014
VL - 224
IS - 2
SP - 187
EP - 202
AB - We prove that if a Δ¹₁ function f with Σ¹₁ domain X is σ-continuous then one can find a Δ¹₁ covering $(Aₙ)_{n∈ω}$ of X such that $f_{|Aₙ}$ is continuous for all n. This is an effective version of a recent result by Pawlikowski and Sabok, generalizing an earlier result of Solecki.
LA - eng
KW - -continuous; Borel functions; Wadge classes; product spaces
UR - http://eudml.org/doc/283173
ER -