On p-adic actions raising dimension by 2

Research output: Working paper/PreprintPreprint

Abstract

Raymond and Wiliams constructed an action of the p-adic integers on an n-dimensional compactum, n>1, with the orbit space of dimension n+2. The author earlier presented a simplified approach for constructing such an action. In this paper we generalize this approach to show that for every n>1, an (n+2)-dimensional compactum X can be obtained as the orbit space of an action of the p-adic integers on an n-dimensional compactum if and only if the cohomological dimension of X with coefficients in Z[1/p] is at most n.
Original languageEnglish GB
PublisherarXiv:1910.01476 [math.GT]
StatePublished - 2019

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