The sharpeness of some cluster set results

D. C. Rung and S. A. Obaid

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-10

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.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:319521

DOI: 10.1155/S0161171287000863

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