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Article

Keywords:
logarithmic capacity; fine topology
Summary:
In Landkof's monograph [8, p. 213] it is asserted that logarithmic capacity is strongly subadditive, and therefore that it is a Choquet capacity. An example demonstrating that logarithmic capacity is not even subadditive can be found e.g\. in [6, Example 7.20], see also [3, p. 803]. In this paper we will show this fact with the help of the fine topology in potential theory.
References:
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[10] Lukeš J., Malý J., Zajíček L.: Fine Topology Methods in Real Analysis and Potential Theory. Lecture Notes in Mathematics No. 1189, Springer-Verlag, Berlin (1986). MR 0861411
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