A MAD Q-set

• Autorzy: Arnold W. Miller
• Języki publikacji: 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 $P(ω) = 2^{ω}$.

Kategorie tematyczne

• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 178
• Numer: 3
• Strony: 271-281

Daty

wydano

2003

Twórcy

autor

Arnold W. Miller

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

Identyfikatory

DOI

10.4064/fm178-3-6