On quasiconformal equivalence between certain infinitely often punctured planes

Autor:	Fujino, H.
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry Mathematics - Complex Variables 51M04 (Primary) 51M05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	A closed discrete subset $A\subset \mathbb{C}$ is called tame if $\mathbb{C}\setminus A$ is quasiconformally equivalent to $\mathbb{C}\setminus \mathbb{Z}$. By giving several criteria for $A$ to be tame, we shall show that $\mathbb{Z}+i\mathbb{Z}$ is not tame. Comment: 10 pages, 3 EPS figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1405.0340 Zobrazit plný text záznamu View this record from Arxiv