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On boundaries of Teichmüller spaces and on Kleinian groups. III. (English) Zbl 0322.30017


MSC:

30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
30F10 Compact Riemann surfaces and uniformization
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
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[1] Abikoff, W., Residual limit sets of Kleinian groups,Acta Math., 130 (1973), 127–144. · Zbl 0258.30016 · doi:10.1007/BF02392264
[2] –, Constructibility and Bers stability of Kleinian groups,Discontinuous Groups and Riemann Surfaces, Ann. of Math. Studies, 79 (1974), 3–12.
[3] Ahlfors, L. V., The complex analytic structure of the space of closed Riemann surfaces.Analytic Functions, Princeton University Press, Princeton (1960). · Zbl 0100.28903
[4] –,Lectures on Quasiconformal Mappings. Van Nostrand, Princeton, 1966. · Zbl 0138.06002
[5] –, Structure of finitely generated Kleinian groups.Acta Math., 122 (1969), 1–17. · Zbl 0193.04002 · doi:10.1007/BF02392006
[6] Beardon, A. &Maskit, B., Limit points of Kleinian groups and finite sided fundamental polyhedra.Acta Math., 132 (1974), 1–12. · Zbl 0277.30017 · doi:10.1007/BF02392106
[7] Bers, L., Correction to ”Spaces of Riemann surfaces as bounded domains”,Bull. Amer. Math. Soc. 67 (1961), 465–466. · doi:10.1090/S0002-9904-1961-10637-X
[8] Maskit, B., On boundaries of Teichmüller spaces and on Kleinian groups, II,Ann. of Math., 91 (1970), 607–639. · Zbl 0197.06003 · doi:10.2307/1970640
[9] –, On Klein’s combination Theorem, III,Advances in the Theory of Riemann Surfaces, Ann. of Math. Studies., 66 (1971), 297–316.
[10] –, Self-maps on Kleinian groups,Amer. J. of Math., 93 (1971), 840–856. · Zbl 0227.32007 · doi:10.2307/2373474
[11] Rauch, H., A transcendental view of the space of algebraic Riemann surfaces.Bul. Amer. Math. Soc., 71 (1965), 1–39. · Zbl 0154.33002 · doi:10.1090/S0002-9904-1965-11225-3
[12] Whyburn, G.,Analytic Topology. Amer. Math. Soc., Providence, 1963. · Zbl 0117.15804
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