Last Updated:2025/11/27

The p-adic ultrametric d_p(x,y)=|x-y|_p reveals surprising topological properties, such as total disconnectedness and the strong triangle inequality.

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The p-adic ultrametric d_p(x,y)=|x-y|_p reveals surprising topological properties, such as total disconnectedness and the strong triangle inequality.

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素数pのp進絶対値によって定義される超距離 d_p(x,y)=|x-y|_p は、位相的に全く連結でないことや強い三角不等式を満たすなどの驚くべき性質を示す。

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