An analogue of o-minimality for valued fields
343 views · Published 10 March 2018 · 51:41 · Indexed 22 September 2026
Channel: Institut Henri Poincaré · 2018 · Science & Technology
By Immanuel Halupczok (Universität Dässeldorf) Abstract: An analogue of o-minimality for valued fields. For first order structures on real closed fields, a very simple condition, namely o-minimality, implies strong tameness results about definable sets. In this talk, I will present an analogue of this in valued fields, which encompasses most settings in which definable sets are known to behave tamely. In contrast, previously known analogues were either restricted to certain subclasses of valued fields (like P-minimality, C-minimality, v-minimality) or simply imposed almost all things one would like to have as axioms (b-minimality with centers and the Jacobian property). This is joint work with Cluckers and Rideau.
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