ISOMETRY GROUP OF GROMOV-HAUSDORFF SPACE

被引：0
|
作者：
Ivanov, Alexander O. [1 ,2 ]
Tuzhilin, Alexey A. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Mech & Math Fac, Moscow, Russia
[2] Bauman Moscow Tech State Univ, Fac FN, Moscow, Russia
来源：
MATEMATICKI VESNIK | 2019年 / 71卷 / 1-2期
关键词：
Gromov-Hausdorff space; Gromov-Hausdorff distance; compact metric spaces; isometry groups; Metric Geometry; METRIC-SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper is devoted to investigation of the isometry group of the Gromov-Hausdorff space, i.e., the metric space of compact metric spaces considered up to isometry and endowed with the Gromov-Hausdorff metric. The main goal is to present a complete proof of the following result by G. Lowther (2015): the isometry group of the Gromov-Hausdorff space is trivial.
引用
收藏
页码：123 / 154
页数：32
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