3 papers
math.LO2026
On some NIP Fragments of Fields
Paulo Andrés Soto Moreno
In this document we study sets of NIP formulas in some theories of fields and valued fields, with a special focus on the sets of quantifier-free and existential formulas. First, we…
math.LO2025
Fields of dp-Rank 2 and their W_2-Topologies: The Characteristic 2 Case
Paulo Andrés Soto Moreno
In this note we reproduce Johnson's analysis of -topologies on fields of characteristic 2, which was originally stated for fields of characteristic different than 2. Following…
math.LO2025
Relative Quantifier Elimination for Separable-Algebraically Maximal Kaplansky Fields
Paulo Andrés Soto Moreno
Let be the class of separable-algebraically maximal equi-characteristic Kaplansky fields of a given imperfection degree, admitting an angular component map. We prove that the c…