Uniform structures and Berkovich spaces

Matthew Baker

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Uniform structures and Berkovich spaces

Matthew Baker

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Abstract

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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Matthew Baker. 2006-06-11. Uniform structures and Berkovich spaces. https://arxiv.org/abs/math/0606252

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