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| Property A and Uniform Embeddability of Metric Spaces Under Decompositions of Finite Depth |
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Citation： |
Yujuan DUAN,Qin WANG,Xianjin WANG.Property A and Uniform Embeddability of Metric Spaces Under Decompositions of Finite Depth[J].Chinese Annals of Mathematics B,2010,31(1):21~34 |
| Page view： 1864
Net amount： 1381 |
Authors： |
Yujuan DUAN; Qin WANG; Xianjin WANG; |
Foundation： |
the Foundation for the Author of National Excellent Doctoral Dissertation of China
(No. 200416), the Program for New Century Excellent Talents in University of China (No. 06-0420),
the Scientific Research Starting Foundation for the Returned Overseas Chinese Scholars (No. 2008-890),
the Dawn Light Project of Shanghai Municipal Education Commission (No. 07SG38) and the Shanghai
Pujiang Program (No. 08PJ14006). |
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| 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： |
Metric space, Uniform embedding, Property A, Large scale decomposition,
Permanence property |
Classification： |
46L89, 54E35, 20F65 |
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