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Article
The sharpeness of some cluster set results
International Journal of Mathematics and Mathematical Sciences (1987)
  • D. C. Rung, Pennsylvania State University
  • Samih Obaid, San Jose State University
Abstract
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.
Keywords
  • Cluster,
  • mathematical,
  • sharpeness,
  • Dolzenko,
  • theorems,
  • porous
Disciplines
Publication Date
1987
Publisher Statement
SJSU users: use the following link to login and access the article via SJSU databases
Citation Information
D. C. Rung and Samih Obaid. "The sharpeness of some cluster set results" International Journal of Mathematics and Mathematical Sciences Vol. 10 Iss. 4 (1987)
Available at: http://works.bepress.com/samih_obaid/7/