Packing dimensions of homogeneous perfect sets |
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| Authors: | X -Y Wang J Wu |
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| Institution: | (1) School of Information Management, Hubei University of Economics, Wuhan, Hubei, 430205, P.R. China;(2) Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, P.R. China |
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| Abstract: | In 10], the notion of homogeneous perfect sets as a generalization of Cantor type sets is introduced and their Hausdorff
and lower box-counting dimensions are studied. In this paper, we determine their exact packing and upper box-counting dimensions
based on the length of their fundamental intervals and the gaps between them. Some known results concerning the dimensions
of Cantor type sets are generalized.
This work was supported by NSFC (10571138). |
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| Keywords: | Hausdorff dimension packing dimension homogeneous perfect set |
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