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^*

^*Corresponding author for this work

Donghua University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	21-34
Number of pages	14
Journal	Chinese Annals of Mathematics. Series B
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s11401-008-0511-1
State	Published - Jan 2010
Externally published	Yes

Keywords

Large scale decomposition
Metric space
Permanence property
Property A
Uniform embedding

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10.1007/s11401-008-0511-1

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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",

month = jan,

doi = "10.1007/s11401-008-0511-1",

language = "英语",

volume = "31",

pages = "21--34",

journal = "Chinese Annals of Mathematics. Series B",

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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

PY - 2010/1

Y1 - 2010/1

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

Abstract

Keywords

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