Continuous functions on Berkovich spaces

2020/11/24 by Junyi Xie, Xie, Junyi
Mathematics · #Advanced Topology and Set Theory #Advanced Banach Space Theory #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2011.12078

Abstract

Let k be a perfect complete valued field with a nontrivial non-archimedean norm |⋅| and ω∈ k with 0<|ω|<1. Let X be a reduced and normal k-analytic space. Then O^∘≃ lim_←O^∘/ωⁿ.

Citations

• Relative p-adic Hodge theory, II: Imperfect period rings

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