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Paper detail

Distality in valued fields and related structures

We investigate distality and existence of distal expansions in valued fields and related structures. In particular, we characterize distality in a large class of ordered abelian groups, provide an AKE-style characterization for henselian valued fields, and demonstrate that certain expansions of fields, e.g., the differential field of logarithmic-exponential transseries, are distal. As a new tool for analyzing valued fields we employ a relative quantifier elimination for pure short exact sequences of abelian groups.

preprint2022arXivOpen access
Matthias AschenbrennerArtem ChernikovAllen GehretMartin Ziegler
math.LO
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Matthias AschenbrennerArtem ChernikovAllen GehretMartin Ziegler

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