2021/08/29 by David Bradley-Williams, Bradley-Williams, David, J. K. Truss +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.2108.12904
openalex publication_date 2021/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Frassé-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.