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Property AUB of Metric Spaces under Decompositions of Finite Depth
【摘要】 Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is proved.
【Abstract】 Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is proved.
【关键词】 metric space;
property AUB;
uniformly convex Banach space;
large scale decomposition;
permanence property;
【Key words】 metric space; property AUB; uniformly convex Banach space; large scale decomposition; permanence property;
【Key words】 metric space; property AUB; uniformly convex Banach space; large scale decomposition; permanence property;
【基金】 National Natural Science Foundations of China(No.10901033,No.10971023);Shanghai Pujiang Project,China(No.08PJ1400600);Shanghai Shuguang Project,China(No.07SG38);the Fundamental Research Funds for the Central Universities of China
- 【文献出处】 Journal of Donghua University(English Edition) ,东华大学学报(英文版) , 编辑部邮箱 ,2010年05期
- 【分类号】O189.11
- 【下载频次】19