Independence over arbitrary sets in NSOP_1 theories [article]

Jan Dobrowolski, Byunghan Kim, Nicholas Ramsey
2019 arXiv   pre-print
We study Kim-independence over arbitrary sets. Assuming that forking satisfies existence, we establish Kim's lemma for Kim-dividing over arbitrary sets in an NSOP_1 theory. We deduce symmetry of Kim-independence and the independence theorem for Lascar strong types.
arXiv:1909.08368v1 fatcat:xm7p4gmx6bg4peappgezmjakyy