论文标题
伯科维奇空间的连续功能
Continuous functions on Berkovich spaces
论文作者
论文摘要
让$ k $是一个完美的完整估值字段,具有非平凡的非架构norm $ | \ cdot | $和$ 0 <|ω| <1的$ 0 <|ω| <1。然后,$ o^{\ circ} \ simeq \ lim \ limits _ {\ leftarrow} o^{\ circ}/ω^n.qul
Let $k$ be a perfect complete valued field with a nontrivial non-archimedean norm $|\cdot|$ and $ω\in k$ with $0<|ω|<1.$ Let $X$ be a reduced and normal $k$-analytic space. Then $O^{\circ}\simeq \lim\limits_{\leftarrow}O^{\circ}/ω^n.$