Definable maximal cofinitary groups

Published 9 Mar 2016 in math.LO | (1603.02942v1)

Abstract: Using countable support iteration of $S$-proper posets, for some appropriate stationary set $S$, we obtain a generic extension of the constructible universe, in which $\mathfrak{b}=\mathfrak{c}=\aleph_2$ and there is a maximal cofinitary group with a $\Pi^{1_2$-definable} set of generators.

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