On Krasnerʹs Constant,

Letvbe a henselian valuation of any rank of a fieldKand be the extension ofvto a fixed algebraic closure ofK. Let α \Kbe separable overK. In this paper the author investigates the condition under which Krasnerʹs constant ωK(α) given by max{ (α − α′)α′ ≠ α runs overK-conjugates of α}, is equal to min{ (α − α′): α′ runs overK-conjugates of α}; this is the condition for α to be equidistant from all of itsK-conjugates.