English

Q

Logic 2016-11-28 v1

Abstract

A Q-set is an uncountable set of reals all of whose subsets are relative GδG_\delta sets. We prove that, for an arbitrary uncountable cardinal kappa, there is consistently a Q-set of size κ\kappa whose square is not Q. This answers a question of A. Miller.

Cite

@article{arxiv.1611.08152,
  title  = {Q},
  author = {Joerg Brendle},
  journal= {arXiv preprint arXiv:1611.08152},
  year   = {2016}
}