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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A strengthening of centerlessness in Teichmüller theory


Author: Michael Engber
Journal: Proc. Amer. Math. Soc. 60 (1976), 144-148
MSC: Primary 32G15; Secondary 14H15
MathSciNet review: 0419843
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Abstract: A group-theoretic property of braid groups is used to eliminate certain hypotheses in the construction of Teichmüller space for Riemann surfaces of finite type. The result is a clarification of the geometric content of the Bers fiber space theorem.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0419843-X
Keywords: Teichmüller space, Riemann surface of finite type, Bers fiber space, braid group, abelian normal subgroup, contractible space
Article copyright: © Copyright 1976 American Mathematical Society