We classify pro- Poincaré duality pairs in dimension two. We then use this classification to build a pro- analogue of the curve complex and establish its basic properties. We conclude with some statements concerning separability properties of the mapping class group.
Cite this article
Gareth Wilkes, Classification of pro- PD pairs and the pro- curve complex. Groups Geom. Dyn. 14 (2020), no. 3, pp. 917–948DOI 10.4171/GGD/569