2 papers
math.LO2026
Mekler's Construction and the Preservation of NCTP and NBTP
JinHoo Ahn, Joonhee Kim
We give criteria for a first-order theory to be NCTP or NBTP using tree-indiscernibility. As an application, we show that Mekler's construction preserves NCTP and NBTP.
math.LO2024
Existence in NSOP theories
Byunghan Kim, Joonhee Kim, Hyoyoon Lee
We show that Kim-forking satisfies existence in all NSOP theories.