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Hausdorff dimension of homogeneous perfect sets

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Summary

We introduce the notion of homogeneous perfect sets as a generalization of Cantor type sets and determine their exact dimension based on the length of their fundamental intervals and the gaps between them. Some earlier results regarding the dimension of Cantor type sets are shown to be special cases of our main theorem.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, Wuhan, Hubei, 430072, P.R. China

    Jun Wu

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  1. Jun Wu
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Wu, J. Hausdorff dimension of homogeneous perfect sets. Acta Math Hung 107, 35–44 (2005). https://doi.org/10.1007/s10474-005-0175-1

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  • DOI: https://doi.org/10.1007/s10474-005-0175-1

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