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Preprint Number 489
489. Artem Chernikov and Martin Hils
Valued difference fields and NTP2
Submission date: 6 August 2012.
We show that the theory of the non-standard Frobenius automorphism, acting on an algebraically closed valued field of equal characteristic 0, is NTP2. More generally, we prove that a contractive sigma-henselian valued difference field of characteristic 0 is NTP2, provided both the residue difference field and the value group (as an ordered difference group) are NTP2. In addition, we demonstrate an analogous result for a possible refinement of NTP2 called resilience.
Mathematics Subject Classification: 03C45, 03C60, 12L12
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