Some Classes of Metric Spaces

被引：0

作者：

Alvarez Lopez, Jesus A. ^{[1
]}

Candel, Alberto ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Dept & Inst Math, Santiago De Compostela, Spain

[2] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA

来源：

GENERIC COARSE GEOMETRY OF LEAVES | 2018年 / 2223卷

关键词：

D O I：

10.1007/978-3-319-94132-5_3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this chapter we describe a variety of metric spaces whose quasiisometry types include those of the leaves of compact foliated spaces. In this chapter, we recall some classes of metric spaces: graphs, metric spaces of coarse bounded geometry, and coarsely quasi-convex metric spaces. They contain the coarse quasi-isometric types of leaves of compact foliated spaces. We also introduce the class of coarsely quasi-symmetric metric spaces, which plays a relevant role in one of our main results, Theorem 1.3.

引用

页码：29 / 36

页数：8

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