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Search: MSC category 32D20 ( Removable singularities )

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1. CMB 2001 (vol 44 pp. 126)

Zeron, E. Santillan
Each Copy of the Real Line in $\C^2$ is Removable
Around 1995, Professors Lupacciolu, Chirka and Stout showed that a closed subset of $\C^N$ ($N\geq 2$) is removable for holomorphic functions, if its topological dimension is less than or equal to $N-2$. Besides, they asked whether closed subsets of $\C^2$ 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.

Keywords:holomorphic function, removable set
Category:32D20

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