2019/10/01 by Michael Levin, Levin, Michael
Computer Science · Mathematics · #22C05 (54F45) #55M10 #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1910.01476
openalex publication_date 2019/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.