28 citations · 31 across the 9 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.LO2019
Independence over arbitrary sets in NSOP theories
Jan Dobrowolski, Byunghan Kim, Nicholas Ramsey
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 theory. We…
math.LO2019
Transitivity of Kim-independence
Itay Kaplan, Nicholas Ramsey
We prove several results on the behavior of Kim-independence upon changing the base in NSOP theories. As a consequence, we prove that Kim-independence satisfies transitivity…