Property A and uniform embeddability of metric spaces under decompositions of finite depth

Yujuan Duan; Qin Wang; Xianjin Wang

doi:10.1007/s11401-008-0511-1

Property A and uniform embeddability of metric spaces under decompositions of finite depth

Yujuan Duan
, Qin Wang
, Xianjin Wang^*

^*此作品的通讯作者

Donghua University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

Property A and uniform embeddability are notions of metric geometry which imply the coarse Baum-Connes conjecture and the Novikov conjecture. In this paper, the authors prove the permanence properties of property A and uniform embeddability of metric spaces under large scale decompositions of finite depth.

源语言	英语
页（从-至）	21-34
页数	14
期刊	Chinese Annals of Mathematics. Series B
卷	31
期	1
DOI	https://doi.org/10.1007/s11401-008-0511-1
出版状态	已出版 - 1月 2010
已对外发布	是

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title = "Property A and uniform embeddability of metric spaces under decompositions of finite depth",

abstract = "Property A and uniform embeddability are notions of metric geometry which imply the coarse Baum-Connes conjecture and the Novikov conjecture. In this paper, the authors prove the permanence properties of property A and uniform embeddability of metric spaces under large scale decompositions of finite depth.",

keywords = "Large scale decomposition, Metric space, Permanence property, Property A, Uniform embedding",

author = "Yujuan Duan and Qin Wang and Xianjin Wang",

year = "2010",

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T1 - Property A and uniform embeddability of metric spaces under decompositions of finite depth

AU - Duan, Yujuan

AU - Wang, Qin

AU - Wang, Xianjin

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N2 - Property A and uniform embeddability are notions of metric geometry which imply the coarse Baum-Connes conjecture and the Novikov conjecture. In this paper, the authors prove the permanence properties of property A and uniform embeddability of metric spaces under large scale decompositions of finite depth.

AB - Property A and uniform embeddability are notions of metric geometry which imply the coarse Baum-Connes conjecture and the Novikov conjecture. In this paper, the authors prove the permanence properties of property A and uniform embeddability of metric spaces under large scale decompositions of finite depth.

KW - Large scale decomposition

KW - Metric space

KW - Permanence property

KW - Property A

KW - Uniform embedding

UR - https://www.scopus.com/pages/publications/77952881261

U2 - 10.1007/s11401-008-0511-1

DO - 10.1007/s11401-008-0511-1

M3 - 文章

AN - SCOPUS:77952881261

SN - 0252-9599

VL - 31

SP - 21

EP - 34

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 1

ER -

Property A and uniform embeddability of metric spaces under decompositions of finite depth

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