A MAD Q-set

Arnold W. Miller. "A MAD Q-set." Fundamenta Mathematicae 178.3 (2003): 271-281. <http://eudml.org/doc/282884>.

@article{ArnoldW2003,
abstract = {A MAD (maximal almost disjoint) family is an infinite subset of the infinite subsets of ω = 0,1,2,... such that any two elements of intersect in a finite set and every infinite subset of ω meets some element of in an infinite set. A Q-set is an uncountable set of reals such that every subset is a relative $G_δ$-set. It is shown that it is relatively consistent with ZFC that there exists a MAD family which is also a Q-set in the topology it inherits as a subset of $P(ω) = 2^\{ω\}$.},
author = {Arnold W. Miller},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {3},
pages = {271-281},
title = {A MAD Q-set},
url = {http://eudml.org/doc/282884},
volume = {178},
year = {2003},
}

TY - JOUR
AU - Arnold W. Miller
TI - A MAD Q-set
JO - Fundamenta Mathematicae
PY - 2003
VL - 178
IS - 3
SP - 271
EP - 281
AB - A MAD (maximal almost disjoint) family is an infinite subset of the infinite subsets of ω = 0,1,2,... such that any two elements of intersect in a finite set and every infinite subset of ω meets some element of in an infinite set. A Q-set is an uncountable set of reals such that every subset is a relative $G_δ$-set. It is shown that it is relatively consistent with ZFC that there exists a MAD family which is also a Q-set in the topology it inherits as a subset of $P(ω) = 2^{ω}$.
LA - eng
UR - http://eudml.org/doc/282884
ER -