The Infinite Dimensional Hyperbolic Space H~∞ Does Not Have Property A

The Infinite Dimensional Hyperbolic Space H~∞ Does Not Have Property A

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摘要 The author constructs a sequence of cubes in the infinitely dimensional hyperbolic space H∞ which is equi-coarsely equivalent to Z2n. As a corollary, it is proved that the infinitely dimensional hyperbolic space H∞ does not have property A.

作者 Zhaobo HUANG

机构地区 School of Mathematical Sciences

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第4期491-496,共6页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China(No.10731020) the Shanghai Pujiang Program(No.08PJ14006)

关键词 Coarse geometry Property A Hyperbolic space 双曲空间无穷维超空间立方体

分类号 O186.12 [理学—基础数学] O175.1 [理学—基础数学]

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参考文献10

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1XU Hong-wei1 ZHAO En-tao2 Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China.Complete hypersurfaces in a 4-dimensional hyperbolic space[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(3):370-378.
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Chinese Annals of Mathematics,Series B

2010年第4期

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The Infinite Dimensional Hyperbolic Space H~∞ Does Not Have Property A

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