Submission date: 20 February 2017

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.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 1702.06102: pdf, ps.