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Logarithmic capacity is not subadditive – a fine topology approach
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 67-72 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 30C85, 31A15, 31C40, 60J45
Keywords: logarithmic capacity; fine topology 
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Pyrih, Pavel. Logarithmic capacity is not subadditive – a fine topology approach. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 67-72. http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a8/

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