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In this paper we develop some of the ideas belonging to W.Schmidt andL.Summerer to define intermediate Diophantine exponents and split Dyson'stransference inequality into a chain of inequalities for intermediateexponents. This splitting generalizes the analogous result of M.Laurent andY.Bugeaud for Khintchine's transference inequalities.

How to split Dyson's transference inequality with the help of Wolfgang Schmidt's parametric geometry of numbers