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.
The author constructs a sequence of cubes in the infinitely dimensional hyper-bolic 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.
基金
supported by the National Natural Science Foundation of China(No.10731020)
the Shanghai Pujiang Program(No.08PJ14006)
关键词
双曲空间
无穷维
超空间
立方体
Coarse geometry, Property A, Hyperbolic space