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Valued difference fields and NTP2

By Artem Chernikov and Martin Hils

Abstract

22 pagesWe 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

Topics: valued difference fields, NTP2, Ax-Kochen-Ershov, model theory, 03C45, 03C60, 12L12, [ MATH.MATH-LO ] Mathematics [math]/Logic [math.LO]
Publisher: HAL CCSD
Year: 2012
OAI identifier: oai:HAL:hal-00723415v1
Provided by: Hal-Diderot
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