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Noncompact surfaces are packable

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Abstract

We show that every noncompact Riemann surface of finite type supports a circle packing. This extends earlier work of Robert Brooks [6] and Phil Bowers and Ken Stephenson [3, 4], who showed that the packable surfaces are dense in moduli space.

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Authors and Affiliations

  1. Department of Mathematics, Texas Tech University LUBBOCK, 79409, TX, USA

    G. Brock Williams

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  1. G. Brock Williams
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The author gratefully acknowledges the support of the Texas Tech University Research Enhancement Fund.

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Williams, G.B. Noncompact surfaces are packable. J. Anal. Math. 90, 243–255 (2003). https://doi.org/10.1007/BF02786558

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  • DOI: https://doi.org/10.1007/BF02786558

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