Folding median graphs
| Autor: | Genevois, Anthony, Guerch, Yassine, Tessera, Romain |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 44 pages, 5 figures. Comments are welcome! |
| Databáze: | arXiv |
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