We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set introduced in [J. Math. Anal. Appl., 2015, 432：888 917], we also study the Assouad dimensions of Cantor-like sets.
基金Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant Nos. 11371329, 11471124, 11271137, 11201152）, K. C. Wong Magna Fund in Ningbo University, the Fund for the Doctoral Program of Higher Education of China （No. 20120076120001）, the Natural Science Foundation Zhejiang Province （No. LR13A010001）, and Natural Science Foundation of Shanghai （No. 11ZR1410300）.
文摘We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set introduced in [J. Math. Anal. Appl., 2015, 432：888 917], we also study the Assouad dimensions of Cantor-like sets.
