Artin approximation theorem
id:
artin-approximation-theorem-258-11464067
title:
Artin approximation theorem
text:
In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin (1969) in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions; and an algebraic version of this theorem in 1969.
brand slug:
wiki
category slug:
encyclopedia
description:
1969 result in deformation theory
original url:
https://en.wikipedia.org/wiki/Artin_approximation_theorem
date created:
date modified:
2023-11-07T08:52:35Z
main entity:
{"identifier":"Q4801169","url":"https://www.wikidata.org/entity/Q4801169"}
image:
fields total:
13
integrity:
14