Perfect independent sets with respect to infinitely many relations
classification
🧮 math.LO
math.GNmath.GR
keywords
perfectcontainsfreemanyrelationsrespectsubgroupanswers
read the original abstract
We prove a result on perfect cliques with respect to countably many G-delta relations on a complete metric space. As an application, we show that a Polish group contains a free subgroup generated by a perfect set as long as it contains any uncountable free subgroup. This answers a recent question of G{\l}\c{a}b and Strobin.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.