On the disc theorem
Cabiria Andreian Cazacu
Annales Polonici Mathematici, Tome 55 (1991), p. 1-10 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:262457 
@article{bwmeta1.element.bwnjournal-article-apmv55z1p1bwm,
     author = {Cabiria Andreian Cazacu},
     title = {On the disc theorem},
     journal = {Annales Polonici Mathematici},
     volume = {55},
     year = {1991},
     pages = {1-10},
     zbl = {0748.30024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p1bwm}
}

Cabiria Andreian Cazacu. On the disc theorem. Annales Polonici Mathematici, Tome 55 (1991) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p1bwm/

[000] [1] L. Ahlfors, Zur Theorie der Überlagerungsflächen, Acta Math. 65 (1935), 157-194. | Zbl 61.0365.03

[001] [2] L. V. Ahlfors and L. Sario, Riemann Surfaces, Princeton Univ. Press, Princeton. N.J., 1960.

[002] [3] N. L. Alling and N. Greenleaf, Foundations of the Theory of Klein Surfaces, Lecture Notes in Math. 219, Springer, Berlin 1971.

[003] [4] C. Andreian Cazacu, Teorema discurilor pentru suprafeţe riemanniene normal exhaustibile, Bul. Şt. Mat. Fiz. Acad. RPR 4 (1952), 263-272.

[004] [5] C. Andreian Cazacu, Über die normal ausschöpfbaren Riemannschen Flächen, Math. Nachr. 15 (1956), 77-86. | Zbl 0072.07701

[005] [6] C. Andreian Cazacu, Suprafeţe riemanniene partial regulat exhaustibile, in: Lucrările Colocv. Geom. Top. Iaşi 1958, Ed. Acad. RPR, Bucureşti 1962, 219-226.

[006] [7] C. Andreian Cazacu, Suprafeţe riemanniene parţial regulat exhaustibile, An. Univ. Bucureşti 34, 11 (1962), 125-154.

[007] [8] C. Andreian Cazacu, Clase de acoperiri riemanniene I, II, ibid. 13 (1964), 55-75, 14 (1965), 71-95.

[008] [9] C. Andreian Cazacu, Ramification of Klein coverings, Ann. Acad. Sci. Fenn. Ser. AI Math. 10 (1985), 47-56.

[009] [10] R. Nevanlinna, Analytic Functions, Springer, Berlin 1970. | Zbl 0199.12501

[010] [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. | Zbl 0019.27204

[011] [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. | Zbl 66.0372.03

[012] [13] S. Stoilow, Leçons sur les principes topologiques de la théorie des fonctions analytiques, II-ème éd., Gauthier-Villars, Paris 1956. | Zbl 0072.07604