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| The Infinite Dimensional Hyperbolic Space ${\mathbb{H}}^{\infty}$ Does Not Have Property A |
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Citation： |
Zhaobo HUANG.The Infinite Dimensional Hyperbolic Space ${\mathbb{H}}^{\infty}$ Does Not Have Property A[J].Chinese Annals of Mathematics B,2010,31(4):491~496 |
| Page view： 1683
Net amount： 1121 |
Authors： |
Zhaobo HUANG; |
Foundation： |
the National Natural Science Foundation of China (No. 10731020) and the Shanghai
Pujiang Program (No. 08PJ14006). |
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| Abstract： |
The author constructs a sequence of cubes in the infinitely
dimensional hyperbolic space $\Hy$ which is equi-coarsely equivalent
to $\ZZ^n$. As a corollary, it is proved that the infinitely
dimensional hyperbolic space $\Hy$ does not have property A. |
Keywords： |
Coarse geometry, Property A, Hyperbolic space |
Classification： |
46B85, 54E40 |
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