Uniform structures and Berkovich spaces

Details Uniform structures and Berkovich spaces Uniform structures and Berkovich spaces

2006-06-11

arxiv.org/abs/math/0606252v1

Mathematics

Number Theory

16 pages

Scientific paper

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.

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