Q

DOI10.1142/9789813223523_0001zbMATH Open1448.03036arXiv1611.08152OpenAlexW4247459431MaRDI QIDQ5137313

Jörg Brendle

Publication date: 2 December 2020

Published in: Sets and Computations (Search for Journal in Brave)

Abstract: A Q-set is an uncountable set of reals all of whose subsets are relative $G_{d}elta$ sets. We prove that, for an arbitrary uncountable cardinal kappa, there is consistently a Q-set of size $kappa$ whose square is not Q. This answers a question of A. Miller.

Full work available at URL: https://arxiv.org/abs/1611.08152

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35)

Related Items (2)

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