, Volume 90, Issue 1, pp 243-255

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.

The author gratefully acknowledges the support of the Texas Tech University Research Enhancement Fund.