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Published online by Cambridge University Press: 26 February 2010
Let ν be a rank 1 henselian valuation of a field K having unique extension ῡ to an algebraic closure
of K. For any subextension L/K of
/K, let G (L), Res (L) denote respectively the value group and the residue field of the valuation obtained by restricting ῡ to L. If a∈
\K define
