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Arithmetic sum of two homogeneous cantor sets

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Abstract

In this note, an example of two homogeneous Cantor sets whose arithmetic sum is a homogeneous Cantor set with a positive Lebesgue measure is given.

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Authors and Affiliations

  1. Dept. of Math., Zhejiang Univ., 310027, Hangzhou, China

    Jiang Haiyi & Yin Yongcheng

Authors
  1. Jiang Haiyi
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  2. Yin Yongcheng
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Supported by the National Natural Science Foundation of China(10171090).

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Jiang, H., Yin, Y. Arithmetic sum of two homogeneous cantor sets. Appl. Math. Chin. Univ. 18, 125–128 (2003). https://doi.org/10.1007/s11766-003-0015-4

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  • DOI: https://doi.org/10.1007/s11766-003-0015-4

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