Document Type

Article

Publication Date

1987

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

10

Issue Number

4

First Page

777

Last Page

786

DOI

10.1155/S0161171287000863

Keywords

Dolzenko, theorems, Cluster sets, interpolating sequences, porous sets

Disciplines

Mathematics | Set Theory

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.

Comments

This article was published in the International Journal of Mathematics and Mathematical Sciences, volume 10, issue 4, 1987, and is also available at this link. Copyright © 1987 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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