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On asymptotic Teichmüller space
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Fletcher, A. (Alastair). (2010) On asymptotic Teichmüller space. American Mathematical Society. Transactions, Vol.362 (No.5). pp. 25072523. ISSN 00029947
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Official URL: http://dx.doi.org/10.1090/S0002994709049447
Abstract
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 Teichm¨uller space AT(M) is biLipschitz equivalent to a bounded open subset of the Banach space l∞/c0. Further, if M and N are two such Riemann surfaces, their asymptotic Teichm¨uller spaces, AT(M) and AT(N), are locally biLipschitz equivalent
Item Type:  Journal Article 

Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Science > Mathematics 
Library of Congress Subject Headings (LCSH):  Teichmüller spaces, Riemann surfaces, Banach spaces 
Journal or Publication Title:  American Mathematical Society. Transactions 
Publisher:  American Mathematical Society 
ISSN:  00029947 
Official Date:  2010 
Volume:  Vol.362 
Number:  No.5 
Page Range:  pp. 25072523 
Identification Number:  10.1090/S0002994709049447 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
References:  [1] P.L.Duren and A.Schuster, Bergman Spaces, AMS Mathematical Surveys and Monographs, 
URI:  http://wrap.warwick.ac.uk/id/eprint/3390 
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