Introduces F_ind, F_Mb, definable Morley property and n-resolvability for indiscernible sequences, proves Koponen's conjecture that simple theories with QE in finite relational languages have finite rank and are one-based, and establishes variants of the simple Kim-forking conjecture in NSOP1.
Differential-algebraic permutation groups
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Simple Homogeneous Structures and Indiscernible Sequence Invariants
Introduces F_ind, F_Mb, definable Morley property and n-resolvability for indiscernible sequences, proves Koponen's conjecture that simple theories with QE in finite relational languages have finite rank and are one-based, and establishes variants of the simple Kim-forking conjecture in NSOP1.