On a theorem of Holický and Zelený concerning Borel maps without $\sigma$-compact fibers
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 535-543
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The paper is concerned with a recent very interesting theorem obtained by Holický and Zelený. We provide an alternative proof avoiding games used by Holický and Zelený and give some generalizations to the case of set-valued mappings.
Classification :
26A21, 28A05, 54C10, 54H05
Keywords: Borel maps; $\sigma $-compact sections; set-valued maps
Keywords: Borel maps; $\sigma $-compact sections; set-valued maps
@article{CMJ_2003__53_3_a3,
author = {Milewski, P. and Pol, R.},
title = {On a theorem of {Holick\'y} and {Zelen\'y} concerning {Borel} maps without $\sigma$-compact fibers},
journal = {Czechoslovak Mathematical Journal},
pages = {535--543},
publisher = {mathdoc},
volume = {53},
number = {3},
year = {2003},
mrnumber = {2000051},
zbl = {1080.54511},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a3/}
}
TY - JOUR AU - Milewski, P. AU - Pol, R. TI - On a theorem of Holický and Zelený concerning Borel maps without $\sigma$-compact fibers JO - Czechoslovak Mathematical Journal PY - 2003 SP - 535 EP - 543 VL - 53 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a3/ LA - en ID - CMJ_2003__53_3_a3 ER -
Milewski, P.; Pol, R. On a theorem of Holický and Zelený concerning Borel maps without $\sigma$-compact fibers. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 535-543. http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a3/