2012/05/27 by Ehud Hrushovski, Hrushovski, Ehud, Daniel Palacin +3
Mathematics · #03C45 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03C45
paper · pdf · doi:10.48550/arxiv.1205.5981
15 pages
arxiv created 2012/05/27 · arxiv updated 2012/05/29
We give an example of a finite rank, in fact aleph-1 categorical theory where the CBP (canonical base property) does not hold. We include a "group-like" example. We also prove, in a finite Morley rank context, if all definable Galois groups are "rigid" then the theory has the CBP (in a strong sense).