EXPLICIT GEODESICS IN GROMOV-HAUSDORFF SPACE

被引：11

作者：

Chowdhury, Samir ^{[1
]}

Memoli, Facundo ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, 100 Math Tower,231 West 18th Ave, Columbus, OH 43210 USA

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES | 2018年 / 25卷

关键词：

Gromov-Hausdorff distance; geodesics; branching;

D O I：

10.3934/era.2018.25.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide an alternative, constructive proof that the collection M of isometry classes of compact metric spaces endowed with the Cromov-Hausdorff distance is a geodesic space. The core of our proof is a construction of explicit geodesics on M. We also provide several interesting examples of geodesics on M, including a geodesic between S-0 and S-n for any n >= 1.

引用

页码：48 / 59

页数：12

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