Abstract:We give a new approach to the failure of the Canonical Base Property (CBP) in the so far only known counterexample, produced by Hrushovski, Palacin and Pillay. For this purpose, we will give an alternative presentation of the counterexample as an additive covers of an algebraically closed field. We isolate two fundamental weakenings of the CBP, which already appeared in work of Chatzidakis, and show that they do not hold in the counterexample. In order to do so, a study of imaginaries in additive covers is dev… Show more
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