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arXiv:2409.10406 [math.LO]AbstractReferencesReviewsResources

Tameness Properties in Multiplicative Valued Difference Fields with Lift and Section

Christoph Kesting

Published 2024-09-16Version 1

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 $\mathrm{NIP}$ transfer result for valued fields by Jahnke and Simon to $\mathrm{NTP}_2$ to show that said valued difference fields are $\mathrm{NTP}_2$ if and only if value group and residue field are.

Comments: 17 pages, work form the authors master's thesis
Categories: math.LO
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