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Set Theory Commons

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1987

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Full-Text Articles in Set Theory

The Sharpness Of Some Cluster Set Results, D. Rung, Samih Obaid Jan 1987

The Sharpness Of Some Cluster Set Results, D. Rung, Samih Obaid

Faculty Publications

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.