On quasiconformal equivalence between certain infinitely often punctured planes

2014/05/02 by H. Fujino, Fujino, H.
Mathematics · #51M04 (Primary) #51M05 (Secondary) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG #msc:51M04 #msc:51M05

paper · pdf · doi:10.48550/arxiv.1405.0340

10 pages, 3 EPS figures

arxiv created 2014/05/02 · arxiv updated 2014/05/05

Abstract

A closed discrete subset A⊂ ℂ is called tame if ℂ∖ A is quasiconformally equivalent to ℂ∖ ℤ. By giving several criteria for A to be tame, we shall show that ℤ+iℤ is not tame.

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