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1 results

Dow’s Principle and Q-Sets
Jörg Brendle
Journal:

Canadian Mathematical Bulletin / Volume 42 / Issue 1 / 01 March 1999

Published online by Cambridge University Press:

20 November 2018, pp. 13-24

Print publication:

01 March 1999
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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 $q$.