vix.ing · top · new · best · stats · spec

Profinite tree sets

2019/09/27 by Kneip, Jay Lilian
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.12615

Abstract

Tree sets are posets with additional structure that generalize tree-like objects in graphs, matroids, or other combinatorial structures. They are a special class of abstract separation systems. We study infinite tree sets and how they relate to the finite tree sets they induce, and obtain a characterization of infinite tree sets in combinatorial terms.

Related