Perfect independent sets with respect to infinitely many relations
Doležal, Martin · Kubiś, Wiesław
Original · EN
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 Głcab and Strobin.
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