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math.LO2019★ 7 cited
Characterizing NIP henselian fields
Sylvy Anscombe, Franziska Jahnke
In this paper, we characterize NIP henselian valued fields modulo the theory of their residue field, both in an algebraic and in a model-theoretic way. Assuming the conjecture that…
math.LO2019
The model theory of Cohen rings
Sylvy Anscombe, Franziska Jahnke
The aim of this article is to give a self-contained account of the algebra and model theory of Cohen rings, a natural generalization of Witt rings. Witt rings are only valuation ri…
math.LO2019
Definable V-topologies, Henselianity and NIP
Yatir Halevi, Assaf Hasson, Franziska Jahnke
We initiate the study of definable V-topolgies and show that there is at most one such V-topology on a t-henselian NIP field. Equivalently, we show that if is a bi-va…