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1
vote
0
answers
216
views
uniqueness of a limit of a pseudo convergent set
Is there an example of valued field in which any pseudo convergent set has a limit and such that this limit is unique?
1
vote
2
answers
349
views
Algebraic maximal extension and algebraic closure
Let $K$ be a valued field. We say that $K$ is algebraic maximal if any algebraic extension of $K$ has either a bigger value group or a bigger residue field.
Under which condition is an algebraic maxim …