Abstract
In this paper, we will study the Bers density problem for the asymptotic Teichmuller space of the unit disk. We first observe that Gehring’s spiral domain is asymptotically equivalent to a Jordan domain in the closure of the universal Teichmuller space. We will also show that the asymptotic class of Flinn’s domain is not in the closure of the asymptotic Teichmuller space. This answers in the negative the Bers density problem for the asymptotic Teichmuller space.
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