Perfectoid space
id:
perfectoid-space-308-8048810
title:
Perfectoid space
text:
In mathematics, perfectoid spaces are adic spaces of special kind, which occur in the study of problems of "mixed characteristic", such as local fields of characteristic zero which have residue fields of characteristic prime p. A perfectoid field is a complete topological field K whose topology is induced by a nondiscrete valuation of rank 1, such that the Frobenius endomorphism Φ is surjective on K°/p where K° denotes the ring of power-bounded elements. Perfectoid spaces may be used to compare
brand slug:
wiki
category slug:
encyclopedia
description:
Used to compare mixed characteristic situations with purely finite characteristic ones
original url:
https://en.wikipedia.org/wiki/Perfectoid_space
date created:
date modified:
2023-03-30T00:16:19Z
main entity:
{"identifier":"Q17075276","url":"https://www.wikidata.org/entity/Q17075276"}
image:
fields total:
13
integrity:
14