Q

2016/11/24 by Joerg Brendle, Brendle, Joerg
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Limits and Structures in Graph Theory #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.1611.08152

openalex publication_date 2016/11/24 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

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

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