Each Copy of the Real Line in $C^2$ is Removable

Canadian mathematical bulletin

关键词: holomorphic function;    removable set;   

DOI  :  10.4153/CMB-2001-016-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Around 1995, Professors Lupacciolu, Chirka and Stout showed that aclosed subset of $C^N$ ($Ngeq 2$) is removable for holomorphicfunctions, 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) areremovable for holomorphic functions. In this paper we propose apositive answer to that question.

【 授权许可】

Unknown