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math.LO2023
On non-abelian dp-minimal groups I: the torsion-free and distal cases
Atticus Stonestrom
We give some results on dp-minimal groups. First we show that any torsion-free dp-minimal group is abelian; along the way show that any dp-minimal group admitting a principal f-gen…
math.LO2023
Forking and invariant measures in NIP theories
Anand Pillay, Atticus Stonestrom
We give an example of an NIP theory in which there is a formula that does not fork over but has measure under any global -invariant Keisler measu…
math.LO2023
On f-generic types in NIP groups
Atticus Stonestrom
`Definable amenability' of a definable group is the model-theoretic analogue of amenability of a discrete group; precisely, a definable group is said to be definably amenable if it…