On positive local combinatorial dividing-lines in model theory
Logic
2017-02-21 v1
Abstract
We introduce the notion of positive local combinatorial dividing-lines in model theory. We show these are equivalently characterized by indecomposable algebraically trivial Fraisse classes and by complete prime filter classes. We exhibit the relationship between this and collapse-of-indiscernibles dividing-lines. We examine several test cases, including those arising from various classes of hypergraphs.
Cite
@article{arxiv.1702.06102,
title = {On positive local combinatorial dividing-lines in model theory},
author = {Vincent Guingona and Cameron Donnay Hill},
journal= {arXiv preprint arXiv:1702.06102},
year = {2017}
}
Comments
35 pages