Luzin and anti-Luzin almost disjoint families
Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 51-67
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Under $MA_{ω_1}$ every uncountable almost disjoint family is either anti-Luzin or has an uncountable Luzin subfamily. This fails under CH. Related properties are also investigated.
Keywords:
Luzin, almost disjoint family
Affiliations des auteurs :
Judith Roitman 1 ; Lajos Soukup 1
@article{10_4064_fm_158_1_51_67,
author = {Judith Roitman and Lajos Soukup},
title = {Luzin and {anti-Luzin} almost disjoint families},
journal = {Fundamenta Mathematicae},
pages = {51--67},
publisher = {mathdoc},
volume = {158},
number = {1},
year = {1998},
doi = {10.4064/fm-158-1-51-67},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-158-1-51-67/}
}
TY - JOUR AU - Judith Roitman AU - Lajos Soukup TI - Luzin and anti-Luzin almost disjoint families JO - Fundamenta Mathematicae PY - 1998 SP - 51 EP - 67 VL - 158 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-158-1-51-67/ DO - 10.4064/fm-158-1-51-67 LA - en ID - 10_4064_fm_158_1_51_67 ER -
Judith Roitman; Lajos Soukup. Luzin and anti-Luzin almost disjoint families. Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 51-67. doi: 10.4064/fm-158-1-51-67
Cité par Sources :