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Property A and Uniform Embeddability of Metric Spaces Under Decompositions of Finite Depth
Authors:Yujuan DUAN  Qin WANG and Xianjin WANG
Institution:Department of Applied Mathematics,Donghua University,Shanghai 201620,China
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
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