A Wild Cantor Set as the Limit Set of a Conformal Group Action on S 3

DOI10.2307/2046464zbMath0622.57030OpenAlexW4255704269MaRDI QIDQ3759567

Daryl Cooper, Mladen Bestvina

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046464

zbMATH Keywords

limit setwild Cantor setdiscrete conformal group action on the 3-sphereSchottky action

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Discontinuous groups of transformations (57S30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Wild embeddings (57M30)

Related Items (9)

Fake Schottky groups acting on the 3-sphere ⋮ Simply connected open 3-manifolds with rigid genus one ends ⋮ Schottky type groups and Kleinian groups acting on S3 with the limit set a wild Cantor set ⋮ Topological aspects of conformally flat manifolds ⋮ Dimension rigidity in conformal structures ⋮ A Note on the Construction of a Certain Class of Kleinian Groups ⋮ Distinguishing Bing-Whitehead Cantor sets ⋮ Inequivalent Cantor sets in $R^{3}$ whose complements have the same fundamental group ⋮ A Cantor set with hyperbolic complement

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