Some remarks on proper actions, proper metric spaces, and buildings

被引：1

作者：

Kramer, Linus ^{[1
]}

机构：

[1] Univ Munster, Math Inst, Einsteinstr 62, D-48149 Munster, Germany

来源：

ADVANCES IN GEOMETRY | 2022年 / 22卷 / 04期

关键词：

Proper action; proper metric space; simplicial complex; building;

D O I：

10.1515/advgeom-2022-0018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：541 / 559

页数：19

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