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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Combinatorial topology of an analytic function on the boundary of a disk


Author: Charles J. Titus
Journal: Bull. Amer. Math. Soc. 66 (1960), 489-494
MathSciNet review: 0123008
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Saunders Mac Lane and V. W. Adkisson, Extensions of homeomorphisms on the sphere, Lectures in Topology, University of Michigan Press, Ann Arbor, Mich., 1941, pp. 223–236. MR 0005304 (3,134b)
  • 2. Constantin Carathéodory, Conformal representation, Cambridge University Press, 1932.
  • 3. H. M. Gehman, On extending a continuous 1-1 correspondence of two plane continuous curves to a correspondence of their planes, Trans. Amer. Math. Soc. vol. 42 1936) pp. 79-86.
  • 4. Emile Picard, Traité d'analyse (2), pp. 310-314.
  • 5. S. Stoïlow, Leçons sur les principes topologiques de la théorie des fonctions analytiques. Deuxième édition, augmentée de notes sur les fonctions analytiques et leurs surfaces de Riemann, Gauthier-Villars, Paris, 1956 (French). MR 0082545 (18,568b)
  • 6. C. J. Titus, A theory of normal curves and some applications, Pacific J. Math. 10 (1960), 1083–1096. MR 0114189 (22 #5014)
  • 7. C. J. Titus, The image of the boundary under a local homeomorphism, Lectures on functions of a complex variable, The University of Michigan Press, Ann Arbor, 1955, pp. 433–435. MR 0069898 (16,1096e)
  • 8. Hassler Whitney, On regular closed curves in the plane, Compositio Math. 4 (1937), 276–284. MR 1556973
  • 9. Gordon Thomas Whyburn, Topological analysis, Princeton Mathematical Series. No. 23, Princeton University Press, Princeton, N. J., 1958. MR 0099642 (20 #6081)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1960-10513-7
PII: S 0002-9904(1960)10513-7