Some remarks on proper actions, proper metric spaces, and buildings
Group Theory
2022-09-07 v4 General Topology
Metric Geometry
Abstract
We discuss various aspects of isometric group actions on proper metric spaces. As one application, we show that a proper and Weyl transitive action on a euclidean building is strongly transitive on the maximal atlas (the complete apartment system) of the building.
Keywords
Cite
@article{arxiv.2109.12837,
title = {Some remarks on proper actions, proper metric spaces, and buildings},
author = {Linus Kramer},
journal= {arXiv preprint arXiv:2109.12837},
year = {2022}
}
Comments
v3: Substantially expanded and revised. v4: minimal changes. To appear in Adv. in Geometry