On limits of betweenness relations
Group Theory
2022-11-22 v2
Abstract
We give a flexible method for constructing a wide variety of limits of betweenness relations. This unifies work of Adeleke, who constructed a Jordan group preserving a limit of betweenness relations, and Bhattacharjee and Macpherson who gave an alternative method using a Fra\"ss\'e-type construction. A key ingredient in their work is the notion of a tree of B-sets. We employ this, and extend its use to a wider class of examples.
Cite
@article{arxiv.2108.12904,
title = {On limits of betweenness relations},
author = {David Bradley-Williams and John K Truss},
journal= {arXiv preprint arXiv:2108.12904},
year = {2022}
}
Comments
revised version