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16 votes
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simple questions on topological rings arising in the context of Perfectoid Spaces

Firstly, I don't think you should start to learn about adic spaces by thinking about perfectoid spaces. The sensible examples of adic spaces for a beginner to think about are sane Noetherian things li …
Kevin Buzzard's user avatar
5 votes
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Fiddling with p-adics

A finite extension of a complete field is complete. This is standard and proved in lots of places e.g. one of the first two chapters of Cassels-Froehlich, or Bosch-Guentzer-Remmert, or lots of other p …
Kevin Buzzard's user avatar