Geodesic
Each Copy of the Real Line in is Removable
Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 126-128

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DOI

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.
DOI : 10.4153/CMB-2001-016-5
Mots-clés : 32D20, holomorphic function, removable set 
Zeron, E. Santillan. Each Copy of the Real Line in is Removable. Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 126-128. doi: 10.4153/CMB-2001-016-5
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