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This chapter deals with some further developments in fine potential theory. In Sect. 4.1, we prove that any fine domain \(U\subset {\mathbb R}^N\) ( \(N\ge 2\) ) is polygonally connected and we apply this to a result about the existence of certain asymptotic paths (see Theorem 4.1.7).

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Further Developments

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  • 发表日期：

    2025年

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  • Mohamed El Kadiri,
  • Bent Fuglede

摘要

This chapter deals with some further developments in fine potential theory. In Sect. 4.1, we prove that any fine domain \(U\subset {\mathbb R}^N\) ( \(N\ge 2\) ) is polygonally connected and we apply this to a result about the existence of certain asymptotic paths (see Theorem 4.1.7).