1 citations · 1 across the 3 of their papers we have counts for
5 papers
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.
Preservation of NATP
JinHoo Ahn, Joonhee Kim, Hyoyoon Lee +1
We prove several preservation theorems for NATP and furnish several examples of NATP. First, we prove preservation of NATP for the parametrization and sum of the theories of Fraïss…
On the Antichain Tree Property
JinHoo Ahn, Joonhee Kim, Junguk Lee
In this note, we investigate a new model theoretical tree property, called the antichain tree property (ATP). We develop combinatorial techniques for ATP. First, we show that ATP i…
SOP, SOP, and antichain tree property
JinHoo Ahn, Joonhee Kim
In this paper, we study some tree properties and their related indiscernibilities. First, we prove that SOP can be witnessed by a formula with a tree of tuples holding 'arbitra…
Mekler's construction and tree properties
JinHoo Ahn
Mekler constructed a way to produce a pure group from any given structure where the construction preserves -stability for any cardinal . Not only the stability, it is known t…