REMARKS ON ARTIN APPROXIMATION WITH
2.DefinitionSolutions of countable systems of polynomial equations4. Let Kbe a field. We say that Kis ℵ 0-complete if every countable system of polynomial equations (in a countable number of indeterminates) has a solution in Kif and only if every finite sub-system of has a solution in K. Theorem 5. The following fields are ℵ 0-complete:
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