Folding median graphs
Group Theory
2023-11-30 v2 Combinatorics
Abstract
Extending Stallings' foldings of trees, we show in this article that every parallel-preserving map between median graphs factors as an isometric embedding through a sequence of elementary transformations which we call foldings and swellings. This new construction proposes a unified point of view on Beeker and Lazarovich's work on folding pocsets and on Ben-Zvi, Kropholler, and Lyman's work on folding nonpositively curved cube complexes.
Keywords
Cite
@article{arxiv.2311.09751,
title = {Folding median graphs},
author = {Anthony Genevois and Yassine Guerch and Romain Tessera},
journal= {arXiv preprint arXiv:2311.09751},
year = {2023}
}
Comments
45 pages, 5 figures. Comments are welcome!