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摘要


We show that a recent cluster set theorem of Rung is sharp in a certain sense. This is accomplished through the construction of an interpolating sequence whose limit set is closed, totally disconnected and porous. The results also generalize some of Dolzenko's cluster set theorems.

延伸閱讀


  • Tsai, W. J., Tong, L. I., & Wang, C. H. (2008). Developing a New Defect Cluster Index. 工業工程學刊, 25(1), 18-30. https://doi.org/10.29977/JCIIE.200801.0003
  • Frenkel, Z., Amberkar, S., Kaderali, L., & Volkovich, Z. (2013). Repeated Bisections Approach for Local Clustering of PPINs. Journal of Modern Mathematics Frontier, 2(1), 19-24. https://www.airitilibrary.com/Article/Detail?DocID=P20150611017-201303-201508170023-201508170023-19-24
  • 張智愷(2011)。Co-cluster with dynamic weighting〔碩士論文,國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2011.00421
  • Wang, J., Chen, Y., & Feng, H. (2015). A Clustering Protocol for WSN. Frontiers in Sensors, 3(), 9-13. https://doi.org/10.14355/fs.2015.03.002
  • 陳佑州(2010)。Blog Clustering〔碩士論文,國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2010.00848