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math.GR2017
Classification of pro- PD pairs and the pro- curve complex
Gareth Wilkes
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…
math.GR2017
Relative cohomology theory for profinite groups
Gareth Wilkes
In this paper we define and develop the theory of the cohomology of a profinite group relative to a collection of closed subgroups. Having made the relevant definitions we establis…