ScalingStacks

Definition 17 [03XE]

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Definition 17

The topology on S​p​e​ca​n​(R/K)Spec^{an}(R/K) is the weakest topology such that for all r∈Rr\in R the map

S​p​e​ca​n​(R/K)→𝐑∪{+∞},x↦v​a​lx​(r)\begin{array}[]{ccc}Spec^{an}(R/K)&\to&{\bf R}\cup\{+\infty\},\\ x&\mapsto&val_{x}(r)\end{array}

is continuous.

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