Geodesic
Dow’s Principle and Q-Sets
Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 13-24

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DOI

A $Q$ -set is a set of reals every subset of which is a relative ${{G}_{\delta }}$ . We investigate the combinatorics of $Q$ -sets and discuss a question of Miller and Zhou on the size $q$ of the smallest set of reals which is not a $Q$ -set. We show in particular that various natural lower bounds for $q$ are consistently strictly smaller than $q$ .
DOI : 10.4153/CMB-1999-002-2
Mots-clés : 03E05, 03E35, 54A35, Q-set, cardinal invariants of the continuum, pseudointersection number, MA(σ-centered), Dow’s principle, almost disjoint family, almost disjointness principle, iterated forcing 
Brendle, Jörg. Dow’s Principle and Q-Sets. Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 13-24. doi: 10.4153/CMB-1999-002-2
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     title = {Dow{\textquoteright}s {Principle} and {Q-Sets}},
     journal = {Canadian mathematical bulletin},
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     year = {1999},
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     number = {1},
     doi = {10.4153/CMB-1999-002-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-002-2/}
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