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Volumn 118, Issue 4, 1996, Pages 745-779

Cores of hyperbolic 3-manifolds and limits of Kleinian groups

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EID: 0000946208     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (37)

References (45)
  • 1
    • 0001177282 scopus 로고
    • Geometric decompositions of Kleinian groups
    • W. Abikoff and B. Maskit, Geometric decompositions of Kleinian groups, Amer. J. Math. 99 (1977), 687-697.
    • (1977) Amer. J. Math. , vol.99 , pp. 687-697
    • Abikoff, W.1    Maskit, B.2
  • 2
    • 0000553024 scopus 로고
    • Finitely generated Kleinian groups
    • L. V. Ahlfors, Finitely generated Kleinian groups, Amer. J. of Math. 86 (1964), 413-29.
    • (1964) Amer. J. of Math. , vol.86 , pp. 413-429
    • Ahlfors, L.V.1
  • 3
    • 0003090685 scopus 로고
    • The structure of a finitely generated Kleinian group
    • _, The structure of a finitely generated Kleinian group, Acta Math. 122 (1969), 1-17.
    • (1969) Acta Math. , vol.122 , pp. 1-17
  • 5
    • 51249165901 scopus 로고
    • Intersections of topologically tame subgroups of Kleinian groups
    • _, Intersections of topologically tame subgroups of Kleinian groups, J. Analyse Math. 65 (1995), 77-94.
    • (1995) J. Analyse Math. , vol.65 , pp. 77-94
  • 6
    • 85045502708 scopus 로고    scopus 로고
    • Algebraic limits of Kleinian groups which rearrange the pages of a book
    • to appear
    • J. W. Anderson and R. D. Canary, Algebraic limits of Kleinian groups which rearrange the pages of a book, Invent. Math. (to appear).
    • Invent. Math.
    • Anderson, J.W.1    Canary, R.D.2
  • 11
    • 0000971510 scopus 로고
    • Cobordism of automorphisms of surfaces
    • F. Bonahon, Cobordism of automorphisms of surfaces, Ann. Sci. École Norm. Sup. 16 (1983), 237-270.
    • (1983) Ann. Sci. École Norm. Sup. , vol.16 , pp. 237-270
    • Bonahon, F.1
  • 12
    • 0002437863 scopus 로고
    • Bouts des variétés hyperboliques de dimension 3
    • _, Bouts des variétés hyperboliques de dimension 3, Ann. of Math. 124 (1986), 71-158.
    • (1986) Ann. of Math. , vol.124 , pp. 71-158
  • 13
    • 0030186893 scopus 로고    scopus 로고
    • A covering theorem for hyperbolic 3-manifolds and its applications
    • to appear
    • R. D. Canary, A covering theorem for hyperbolic 3-manifolds and its applications. Topology (to appear).
    • Topology
    • Canary, R.D.1
  • 16
    • 0029681645 scopus 로고    scopus 로고
    • On limits of tame hyperbolic 3-manifolds
    • R. D. Canary and Y. N. Minsky, On limits of tame hyperbolic 3-manifolds, J. Differential Geom. 43 (1996), 1-41.
    • (1996) J. Differential Geom. , vol.43 , pp. 1-41
    • Canary, R.D.1    Minsky, Y.N.2
  • 18
    • 33845737933 scopus 로고
    • Least area incompressible surfaces in 3-manifolds
    • M. Freedman, J. Hass, and P. Scott, Least area incompressible surfaces in 3-manifolds, Invent. Math. 71 (1983), 609-642.
    • (1983) Invent. Math. , vol.71 , pp. 609-642
    • Freedman, M.1    Hass, J.2    Scott, P.3
  • 19
    • 0003864095 scopus 로고
    • Princeton University Press, Princeton, NJ
    • J. Hempel, 3-manifolds, Princeton University Press, Princeton, NJ, 1976.
    • (1976) 3-Manifolds
    • Hempel, J.1
  • 21
    • 0011307899 scopus 로고
    • On cyclic groups of Möbius transformations
    • T. Jørgensen, On cyclic groups of Möbius transformations, Math. Scand. 33 (1973), 250-260.
    • (1973) Math. Scand. , vol.33 , pp. 250-260
    • Jørgensen, T.1
  • 22
    • 0000090033 scopus 로고
    • On discrete groups of Möbius transformations
    • _, On discrete groups of Möbius transformations, Amer. J. Math. 98 (1976), 739-749.
    • (1976) Amer. J. Math. , vol.98 , pp. 739-749
  • 23
    • 0002911403 scopus 로고
    • Algebraic and geometric convergence of Kleinian groups
    • T. Jørgensen and A. Marden, Algebraic and geometric convergence of Kleinian groups. Math. Scand. 66 (1990), 47-72.
    • (1990) Math. Scand. , vol.66 , pp. 47-72
    • Jørgensen, T.1    Marden, A.2
  • 24
    • 0002303035 scopus 로고
    • Non-continuity of the action of the mapping class group at Bers' boundary of Teichmuller space
    • S. Kerckhoff and W. P. Thurston, Non-continuity of the action of the mapping class group at Bers' boundary of Teichmuller space, Invent. Math. 100 (1990), 25-47.
    • (1990) Invent. Math. , vol.100 , pp. 25-47
    • Kerckhoff, S.1    Thurston, W.P.2
  • 25
    • 38249024835 scopus 로고
    • On Ahlfors' finiteness theorem
    • R. Kulkarni and P. Shalen, On Ahlfors' finiteness theorem, Adv. in Math. 76 (1989), 155-169.
    • (1989) Adv. in Math. , vol.76 , pp. 155-169
    • Kulkarni, R.1    Shalen, P.2
  • 26
    • 0000954277 scopus 로고
    • The geometry of finitely generated Kleinian groups
    • A. Marden, The geometry of finitely generated Kleinian groups, Ann. of Math. 99 (1974), 383-462.
    • (1974) Ann. of Math. , vol.99 , pp. 383-462
    • Marden, A.1
  • 27
    • 0010679814 scopus 로고
    • On the isomorphism theorem for Kleinian groups
    • A. Marden and B. Maskit, On the isomorphism theorem for Kleinian groups. Invent. Math. 51 (1979), 9-14.
    • (1979) Invent. Math. , vol.51 , pp. 9-14
    • Marden, A.1    Maskit, B.2
  • 28
    • 0001146281 scopus 로고
    • On boundaries of Teichmüller spaces and on Kleinian groups II
    • B. Maskit, On boundaries of Teichmüller spaces and on Kleinian groups II, Ann. of Math. 91 (1970), 607-639.
    • (1970) Ann. of Math. , vol.91 , pp. 607-639
    • Maskit, B.1
  • 29
    • 0004220859 scopus 로고
    • Springer-Verlag, New York
    • _, Kleinian Groups, Springer-Verlag, New York, 1988.
    • (1988) Kleinian Groups
  • 30
    • 0000018142 scopus 로고
    • Compact submanifolds of 3-manifolds with boundary
    • D. McCullough, Compact submanifolds of 3-manifolds with boundary, Quart. J. Math. Oxford Ser. (2) 37 (1986), 299-307.
    • (1986) Quart. J. Math. Oxford Ser. (2) , vol.37 , pp. 299-307
    • McCullough, D.1
  • 31
    • 0001704651 scopus 로고
    • Homeomorphisms of 3-manifolds with compressible boundary
    • D. McCullough and A. Miller, Homeomorphisms of 3-manifolds with compressible boundary, Mem. Amer. Math. Soc. 61 (1986), 1-100.
    • (1986) Mem. Amer. Math. Soc. , vol.61 , pp. 1-100
    • McCullough, D.1    Miller, A.2
  • 33
    • 33745453169 scopus 로고
    • On Thurston's uniformization theorem for three-dimensional manifolds
    • J. Morgan and H. Bass, eds.. Academic Press, Orlando, FL
    • J. W. Morgan, On Thurston's uniformization theorem for three-dimensional manifolds. The Smith Conjecture (J. Morgan and H. Bass, eds.). Academic Press, Orlando, FL, 1984, pp. 37-125.
    • (1984) The Smith Conjecture , pp. 37-125
    • Morgan, J.W.1
  • 34
    • 0011493051 scopus 로고
    • Geometric behaviour of kleinian groups on boundaries for deformation spaces
    • K. Ohshika, Geometric behaviour of Kleinian groups on boundaries for deformation spaces, Quart. J. Math. Oxford Ser. (2) 43 (1992), 97-111.
    • (1992) Quart. J. Math. Oxford Ser. (2) , vol.43 , pp. 97-111
    • Ohshika, K.1
  • 35
    • 84974143079 scopus 로고
    • Strong convergence of Kleinian groups and Caratheodory convergence of domains of discontinuity
    • _, Strong convergence of Kleinian groups and Caratheodory convergence of domains of discontinuity, Math. Proc. Cambridge Philos Soc. 112 (1992), 297-307.
    • (1992) Math. Proc. Cambridge Philos Soc. , vol.112 , pp. 297-307
  • 40
    • 84959841963 scopus 로고
    • Compact submanifolds of 3-manifolds
    • G. P. Scott, Compact submanifolds of 3-manifolds, J. London Math. Soc. 7 (1973), 246-250.
    • (1973) J. London Math. Soc. , vol.7 , pp. 246-250
    • Scott, G.P.1
  • 41
    • 84966238782 scopus 로고
    • Geometric finiteness of certain Kleinian groups
    • G. P. Scott and G. A. Swarup, Geometric finiteness of certain Kleinian groups, Proc. Amer. Math. Soc. 109 (1990), 765-768.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , pp. 765-768
    • Scott, G.P.1    Swarup, G.A.2
  • 42
    • 0011495894 scopus 로고
    • Function groups in Kleinian groups
    • T. Soma, Function groups in Kleinian groups, Math. Ann. 292 (1992), 181-190.
    • (1992) Math. Ann. , vol.292 , pp. 181-190
    • Soma, T.1
  • 43
    • 51249182119 scopus 로고
    • Kleinian groups with intersecting limit sets
    • P. Susskind, Kleinian groups with intersecting limit sets, J. Analyse Math. 52 (1989), 26-38.
    • (1989) J. Analyse Math. , vol.52 , pp. 26-38
    • Susskind, P.1


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