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Proceedings of the American Mathematical Society

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

 

 

A wild Cantor set as the limit set of a conformal group action on $ S\sp 3$


Authors: M. Bestvina and D. Cooper
Journal: Proc. Amer. Math. Soc. 99 (1987), 623-626
MSC: Primary 57M30; Secondary 20H10, 30C35, 57S25
MathSciNet review: 877028
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Abstract: We construct a conformal action of a free group of finite rank on $ {S^3}$ whose set of discontinuity $ \Lambda $ is a wild Cantor set.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0877028-4
Keywords: Conformal group action, limit set, wild Cantor set
Article copyright: © Copyright 1987 American Mathematical Society