| Relative Property A for Discrete Metric Space |
| Received:May 01, 2018 Revised:August 12, 2018 |
| Key Words:
relative Property A coarse embedding mazur map
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11701301). |
| Author Name | Affiliation | | Yufang LI | Department of Mathematics, Zhejiang University, Zhejiang 310058, P. R. China
Department of Mathematics and Statistics, Guizhou University, Guizhou 550025, P. R. China
| | Zhe DONG | Department of Mathematics, Zhejiang University, Zhejiang 310058, P. R. China | | Yuanyi WANG | School of Information Engineering, College of Science and Technology, Ningbo University, Zhejiang 315211, P. R. China |
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| Abstract: |
| Yu introduced Property A on discrete metric spaces. In this paper, a relative Property A for a discrete metric space $X$ with respect to a set $Y$ and a map $\rho_{X,Y}$ is defined. Some characterizations for relative Property A are given. In particular, a discrete metric space with relative Property A can be coarse embedding into a Hilbert space under certain condition. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.01.006 |
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