We use variants of the $\mathbb {G}_0$ dichotomy to establish a refinement of Solecki’s basis theorem for the family of Baire-class one functions which are not $\sigma $-continuous with closed witnesses.
@article{10_4064_fm317_12_2016,
author = {Rapha\"el Carroy and Benjamin D. Miller},
title = {Sigma-continuity with closed witnesses},
journal = {Fundamenta Mathematicae},
pages = {29--42},
year = {2017},
volume = {239},
number = {1},
doi = {10.4064/fm317-12-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm317-12-2016/}
}
TY - JOUR
AU - Raphaël Carroy
AU - Benjamin D. Miller
TI - Sigma-continuity with closed witnesses
JO - Fundamenta Mathematicae
PY - 2017
SP - 29
EP - 42
VL - 239
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/fm317-12-2016/
DO - 10.4064/fm317-12-2016
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ID - 10_4064_fm317_12_2016
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%A Raphaël Carroy
%A Benjamin D. Miller
%T Sigma-continuity with closed witnesses
%J Fundamenta Mathematicae
%D 2017
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%V 239
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/fm317-12-2016/
%R 10.4064/fm317-12-2016
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Raphaël Carroy; Benjamin D. Miller. Sigma-continuity with closed witnesses. Fundamenta Mathematicae, Tome 239 (2017) no. 1, pp. 29-42. doi: 10.4064/fm317-12-2016
