Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: MSC category 32D20 ( Removable singularities )

 Expand all        Collapse all Results 1 - 1 of 1

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 setCategory:32D20

© Canadian Mathematical Society, 2015 : https://cms.math.ca/