2006/06/11 by Matthew Baker, Baker, Matthew
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #General Topology (math.GN) #Number Theory (math.NT) #math.AG #math.GN #math.NT
paper · pdf · doi:10.48550/arxiv.math/0606252
16 pages
arxiv created 2006/06/11 · arxiv updated 2009/12/01
A uniform space is a topological space together with some additional structure which allows one to make sense of uniform properties such as completeness or uniform convergence. Motivated by previous work of J. Rivera-Letelier, we give a new construction of the Berkovich analytic space associated to an affinoid algebra as the completion of a canonical uniform structure on the associated rigid-analytic space.