On the disc theorem

Cabiria Andreian Cazacu

Annales Polonici Mathematici (1991)

  • Volume: 55, Issue: 1, page 1-10
  • ISSN: 0066-2216

Abstract

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Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.

How to cite

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Cabiria Andreian Cazacu. "On the disc theorem." Annales Polonici Mathematici 55.1 (1991): 1-10. <http://eudml.org/doc/262457>.

@article{CabiriaAndreianCazacu1991,
abstract = {Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.},
author = {Cabiria Andreian Cazacu},
journal = {Annales Polonici Mathematici},
keywords = {Ahlfors' disc theorem; Riemann covering surfaces; Klein coverings},
language = {eng},
number = {1},
pages = {1-10},
title = {On the disc theorem},
url = {http://eudml.org/doc/262457},
volume = {55},
year = {1991},
}

TY - JOUR
AU - Cabiria Andreian Cazacu
TI - On the disc theorem
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 1
EP - 10
AB - Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.
LA - eng
KW - Ahlfors' disc theorem; Riemann covering surfaces; Klein coverings
UR - http://eudml.org/doc/262457
ER -

References

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  1. [1] L. Ahlfors, Zur Theorie der Überlagerungsflächen, Acta Math. 65 (1935), 157-194. Zbl61.0365.03
  2. [2] L. V. Ahlfors and L. Sario, Riemann Surfaces, Princeton Univ. Press, Princeton. N.J., 1960. 
  3. [3] N. L. Alling and N. Greenleaf, Foundations of the Theory of Klein Surfaces, Lecture Notes in Math. 219, Springer, Berlin 1971. 
  4. [4] C. Andreian Cazacu, Teorema discurilor pentru suprafeţe riemanniene normal exhaustibile, Bul. Şt. Mat. Fiz. Acad. RPR 4 (1952), 263-272. 
  5. [5] C. Andreian Cazacu, Über die normal ausschöpfbaren Riemannschen Flächen, Math. Nachr. 15 (1956), 77-86. Zbl0072.07701
  6. [6] C. Andreian Cazacu, Suprafeţe riemanniene partial regulat exhaustibile, in: Lucrările Colocv. Geom. Top. Iaşi 1958, Ed. Acad. RPR, Bucureşti 1962, 219-226. 
  7. [7] C. Andreian Cazacu, Suprafeţe riemanniene parţial regulat exhaustibile, An. Univ. Bucureşti 34, 11 (1962), 125-154. 
  8. [8] C. Andreian Cazacu, Clase de acoperiri riemanniene I, II, ibid. 13 (1964), 55-75, 14 (1965), 71-95. 
  9. [9] C. Andreian Cazacu, Ramification of Klein coverings, Ann. Acad. Sci. Fenn. Ser. AI Math. 10 (1985), 47-56. 
  10. [10] R. Nevanlinna, Analytic Functions, Springer, Berlin 1970. Zbl0199.12501
  11. [11] S. Stoilow, Sur une classe de surfaces de Riemann régulièrement exhaustibles et sur le théorème des disques de M. Ahlfors, C. R. Acad. Sci. Paris 207 (1938), 517-519. Zbl0019.27204
  12. [12] S. Stoilow, Sur les surfaces de Riemann normalement exhaustibles et sur le théorème des disques pour ces surfaces, Compositio Math. 7 (1940), 428-435. Zbl66.0372.03
  13. [13] S. Stoilow, Leçons sur les principes topologiques de la théorie des fonctions analytiques, II-ème éd., Gauthier-Villars, Paris 1956. Zbl0072.07604

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