Topological properties of a class of self-affine tiles in R^3
Topological properties of a class of self-affine tiles in R^3
复制标题
R^3 中一类自仿射瓦片的拓扑性质
DOI：
10.1090/tran/7055
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Sze-man Ngai
中科院分区：
文献类型：
--
作者：
Guotai Deng;Chuntai Liu;Sze-man Ngai
我们构造了一类连通的自仿射瓦片 in 并证明它包含与单位球 in 同胚的瓦片子类。我们的构造是通过推广 Deng 和 Lau 的二维瓦片而获得的。球相似性证明的灵感来自于亚历山大有角球到三球的同胚构造。参考
We construct a class of connected self-affine tiles inand prove that it contains a subclass of tiles that are homeomorphic to a unit ball in. Our construction is obtained by generalizing a two-dimensional one by Deng and Lau. The proof of ball-likeness is inspired by the construction of a homeomorphism from Alexander’s horned ball to a 3-ball. References