2023/11/16 by Anthony Genevois, Genevois, Anthony, Yassine Guerch +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #05C25 #20F65 #20F67 #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Protein Structure and Dynamics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2311.09751
openalex publication_date 2023/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.