15 citations · 50 across the 19 of their papers we have counts for
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math.LO2021
On rank not only in NSOP1 theories
Jan Dobrowolski, Daniel Max Hoffmann
We introduce a family of local ranks DQ depending on a finite set Q of pairs of the form (φ(x,y),q(y)) where φ(x,y) is a formula and q(y) is a global type. We prove that in any NSO…
math.CO2021
Elekes-Szabó for groups, and approximate subgroups in weak general position
Martin Bays, Jan Dobrowolski, Tingxiang Zou
We show that with a suitable weak notion of general position, the Elekes-Szabó condition on the group operation of a connected complex algebraic group characterises nilpotence of t…
math.LO2021★ 15 cited
Kim-independence in positive logic
Jan Dobrowolski, Mark Kamsma
An important dividing line in the class of unstable theories is being NSOP, which is more general than being simple. In NSOP theories forking independence may not be as wel…