Mekler's Construction and the Preservation of NCTP and NBTP

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Jinhoo Ahn, Joonhee Kim
DOI: 10.48550/arxiv.2602.22966
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Advanced Topology and Set Theory Rings Modules and Algebras Limits and Structures in Graph Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 February 2026
Language
EN
Document type
Preprint