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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2003 | 178 | 3 | 271-281

EN

### Abstrakty

EN
A MAD (maximal almost disjoint) family is an infinite subset 𝒜 of the infinite subsets of ω = {0,1,2,...} such that any two elements of 𝒜 intersect in a finite set and every infinite subset of ω meets some element of 𝒜 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 $P(ω) = 2^{ω}$.

271-281

wydano
2003

### Twórcy

autor
• Department of Mathematics, Van Vleck Hall, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, WI 53706-1388, U.S.A.