Tameness Properties in Multiplicative Valued Difference Fields with Lift and Section

Abstract

We prove relative quantifier elimination for Pal's multiplicative valued difference fields with an added lifting map of the residue field. Furthermore, we generalize a NIP transfer result for valued fields by Jahnke and Simon to NTP2 to show that said valued difference fields are NTP2 if and only if value group and residue field are.

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