The existence of quasiconformal homeomorphism between planes with countable marked points

2014/12/28 by Fujino, Hiroki
#51M04 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1412.8141

Abstract

We consider quasiconformal deformations of ℂ∖ℤ. We give some criteria for infinitely often punctured planes to be quasiconformally equivalent to ℂ∖ℤ. In particular, we characterize the closed subsets of ℝ whose compliments are quasiconformally equivalent to ℂ∖ℤ.

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