论文标题

最大辅助群的确定性

Definability of maximal cofinitary groups

论文作者

Mejak, Severin, Schrittesser, David

论文摘要

我们提供了第二作者先前宣布的结果的证明,表明有一个封闭(甚至$π^0_1 $)集生成$f_σ$(甚至$σ^0_2 $)最大辅助团体(短,MCG),这是对一个免费组的同构。在这个同构类别中,这是MCG的最低定义复杂性。

We present a proof of a result, previously announced by the second author, that there is a closed (even $Π^0_1$) set generating an $F_σ$ (even $Σ^0_2$) maximal cofinitary group (short, mcg) which is isomorphic to a free group. In this isomorphism class, this is the lowest possible definitional complexity of an mcg.

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