Continuous functions on Berkovich spaces

Abstract

Let $k$ be a perfect complete valued field with a nontrivial non-archimedean norm $|\cdot |$ and $\omega \in k$ with $0<|\omega |<1.$ Let $X$ be a reduced and normal $k$-analytic space. Then $O^{\circ }\simeq \underleftarrow{\lim }{O}^{\circ }/{\omega }^n.$

26 pages, corrected some typos

References in corpus (2)

• Relative p-adic Hodge theory, II: Imperfect period rings
• The existence of Zariski dense orbits for endomorphisms of projective surfaces (with an appendix in collaboration with Thomas Tucker)