【摘要】：本文證明上Assouad維數(shù)為s的一致不連通集可以雙李卜希茲嵌入到下維數(shù)為t的集合中,其中ts.推廣了Mattila和Saaranen(2009)得到的已有結(jié)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.
【作者單位】： 湖北大學(xué)數(shù)學(xué)系;
【基金】：Supported by the National Natural Science Foundation of China(11301162)
【分類號(hào)】：O174
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本文編號(hào)：2375222