We classify pro-$p$ Poincaré duality pairs in dimension two. We then use this classification to build a pro-$p$ analogue of the curve complex and establish its basic properties. We conclude with some statements concerning separability properties of the mapping class group.

中文翻译：

---

pro- $ p $ PD $ ^ 2 $对和pro- $ p $曲线复合体的分类

我们将亲$ p $庞加莱对偶性对分类为第二维。然后，我们使用此分类建立曲线复合体的pro-p $类似物并建立其基本属性。我们以一些有关映射类组的可分离性属性的语句作为结尾。