A wild Cantor set as the limit set of a conformal group action on 𝑆³

Bestvina, M.; Cooper, D.

doi:10.1090/S0002-9939-1987-0877028-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A wild Cantor set as the limit set of a conformal group action on $S^ 3$
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by M. Bestvina and D. Cooper PDF

Proc. Amer. Math. Soc. 99 (1987), 623-626 Request permission

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.

References

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