On Asymptotic Teichmüller Space
نویسنده
چکیده
In this article we prove that for any hyperbolic Riemann surface M of infinite analytic type, the little Bers space Q0(M) is isomorphic to c0. As a consequence of this result, if M is such a Riemann surface, then its asymptotic Teichmüller space AT (M) is bi-Lipschitz equivalent to a bounded open subset of the Banach space l∞/c0. Further, if M and N are two such Riemann surfaces, their asymptotic Teichmüller spaces, AT (M) and AT (N), are locally bi-Lipschitz equivalent.
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