一致不连通集和双李卜希兹映射（英文）
发布时间：2018-12-12 20:46
【摘要】：本文证明上Assouad维数为s的一致不连通集可以双李卜希兹嵌入到下维数为t的集合中,其中ts.推广了Mattila和Saaranen(2009)得到的已有结果.
[Abstract]:In this paper, we prove that a uniformly disconnected set with Assouad dimension s can be embedded in a set with lower dimension t by double Lipschitz, where ts. The results obtained by Mattila and Saaranen (2009) are generalized.
【作者单位】： 湖北大学数学系;
【基金】：Supported by the National Natural Science Foundation of China(11301162)
【分类号】：O174
，
本文编号：2375222
[Abstract]:In this paper, we prove that a uniformly disconnected set with Assouad dimension s can be embedded in a set with lower dimension t by double Lipschitz, where ts. The results obtained by Mattila and Saaranen (2009) are generalized.
【作者单位】： 湖北大学数学系;
【基金】：Supported by the National Natural Science Foundation of China(11301162)
【分类号】：O174
，
本文编号：2375222
本文链接：https://www.wllwen.com/kejilunwen/yysx/2375222.html
