一致结构与Berkovich空间
Uniform structures and Berkovich spaces
摘要：
一致空间是一个拓扑空间加上一些额外的结构，使人们能够理解一致的性质，如完备性或一致收敛性。受J. Rivera-Letelier以前工作的启发，我们给出了与仿射代数相关联的Berkovich解析空间的一个新的构造，作为其刚性解析空间上的一个标准一致结构的完备化.
英文摘要：
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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