Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1649

Preprint Number 1649

Previous Next Preprint server

1649. Jan Dobrowolski, Byunghan Kim, Nicholas Ramsey
Independence over arbitrary sets in NSOP_1 theories

Submission date: 18 September 2019


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.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1909.08368: pdf, ps.

Last updated: March 23 2021 10:21 Please send your corrections to: