Abstract
We consider quasiconformal deformations of C$\backslash$Z. We give some criteria for infinitely often punctured planes to be quasiconformally equivalent to C$\backslash$Z. In particular, we characterize the closed subsets of R whose compliments are quasiconformally equivalent to C$\backslash$Z.
Citation
Hiroki Fujino. "The existence of quasiconformal homeomorphism between planes with countable marked points." Kodai Math. J. 38 (3) 732 - 746, October 2015. https://doi.org/10.2996/kmj/1446210604
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