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Each Copy of the Real Line in 
is Removable
Published online by Cambridge University Press: 20 November 2018
Abstract
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Around 1995, Professors Lupacciolu, Chirka and Stout showed that a closed subset of 
${{\mathbb{C}}^{N}}\left( N\ge 2 \right)$ is removable for holomorphic functions, if its topological dimension is less than or equal to 
$N\,-\,2$. Besides, they asked whether closed subsets of 
${{\mathbb{C}}^{2}}$ homeomorphic to the real line (the simplest 1-dimensional sets) are removable for holomorphic functions. In this paper we propose a positive answer to that question.
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- Research Article
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- Copyright © Canadian Mathematical Society 2001
References
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