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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
21
votes
Does the category of (algebraically closed) fields of characteristic $p$ change when $p$ cha...
If you do not impose an algebraically closed condition, no two are equivalent. This basically follows from your (3). Namely, observe that
An extension is finite if and only if it has finitely many …