Flat subsets of Euclidean buildings
Metric Geometry
2026-03-24 v2 Group Theory
Geometric Topology
Abstract
We prove that any convex flat subset in a complete Euclidean building is contained in an apartment of the maximal system of apartments.
Cite
@article{arxiv.2512.11658,
title = {Flat subsets of Euclidean buildings},
author = {Raphael Appenzeller and Auguste Hébert and Alexander Lytchak},
journal= {arXiv preprint arXiv:2512.11658},
year = {2026}
}
Comments
10 pages, comments welcome, v2: typos fixed, acknowledgements adjusted