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5
votes
Accepted
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 …
16
votes
Accepted
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 …