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For questions about sheaves on a topological space.

2 votes
Accepted

Topology of ring of global sections of finite union of affinoid opens in a rigid analytic space

So that this question doesn't remain unanswered, I will provide an elaboration of grghxy's answer in the comments. The quasi-separatedness of $X$ ensures that $U$ is admissible open with $U=\bigcup_{i …
Keenan Kidwell's user avatar
5 votes
1 answer
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Topology of ring of global sections of finite union of affinoid opens in a rigid analytic space

Let $X$ be a rigid analytic space over a non-Archimedean field $k$. If $U_1,\ldots,U_n\subseteq X$ are affinoid opens, then it's usually not clear whether or not the admissible open $U=U_1\cup\cdots\c …