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ISSN (electronic): 1364-0380
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Group invariant Peano curves

James W Cannon and William P Thurston

Geometry & Topology 11 (2007) 1315–1355

DOI: 10.2140/gt.2007.11.1315

References

1

W Abikoff, Two theorems on totally degenerate Kleinian groups, Amer. J. Math. 98 (1976) 109–118 MR0396937

2

F Bonahon, Bouts des variétés hyperboliques de dimension 3, Ann. of Math. (2) 124 (1986) 71–158 MR847953

3

J W Cannon, The combinatorial structure of cocompact discrete hyperbolic groups, Geom. Dedicata 16 (1984) 123–148 MR758901

4

A Fathi, F Laudenbach, V Poenaru, et al, Travaux de Thurston sur les surfaces, Séminaire Orsay, Astérisque 66–67, Société Mathématique de France, Paris (1979) MR568308 French with an English summary

5

R L Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. 27 (1925) 416–428 MR1501320 JFM 51.0464.03

6

D Sullivan, Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension 3 fibrées sur S1, from: "Séminaire Bourbaki 554 (1980)", Lecture Notes in Math. 842, Springer, Berlin (1981) 196–214 MR636524

7

W P Thurston, Hyperbolic Structures on 3-manifolds, II: Surface groups and 3–manifolds which fiber over the circle, unpublished

8

W P Thurston, Three-dimensional geometry and topology. Vol. 1, Princeton Mathematical Series 35, Princeton University Press, Princeton, NJ (1997) MR1435975 Edited by Silvio Levy