| The Infinite Dimensional Hyperbolic Space H~∞ Does Not Have Property A |
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| 作者姓名： | Zhaobo HUANG |
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| 作者单位： | School of Mathematical Sciences,Fudan University,Shanghai 200433,China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10731020） and the Shanghai Pujiang Program （No. 08PJ14006）. The author would like to thank Professors Xiaoman Chen, Qin Wang and Guoliang Yu for their stimulating conversations. |
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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.
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| 关 键 词： | 双曲空间 无穷维 超空间 立方体 |
| 收稿时间： | 31 March 2006 |
The Infinite Dimensional Hyperbolic Space ${\mathbb{H}}^{\infty}$ Does Not Have Property A |
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| Zhaobo HUANG.The Infinite Dimensional Hyperbolic Space ${\mathbb{H}}^{\infty}$ Does Not Have Property A[J].Chinese Annals of Mathematics,Series B,2010,31(4):491-496. |
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| Authors: | Zhaobo HUANG |
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| Institution: | School of Mathematical Sciences,Fudan University,Shanghai 200433,China |
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| Abstract: | The author constructs a sequence of cubes in the infinitely dimensional hyperbolic space ℍ∞ which is equi-coarsely equivalent to ℤ2
n
. As a corollary, it is proved that the infinitely dimensional hyperbolic space ℍ∞ does not have property A. |
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| Keywords: | Coarse geometry Property A Hyperbolic space |
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