Artículo
Toranzos, F.A. "Intersections of compact simply connected planar sets" (1997) Bulletin de la Societe Royale des Sciences de Liege. 66(5):349-351
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
In a recent paper, M. Breen has proved a Helly-type theorem for families of simple polygons in the plane. It is shown here that this result is a corollary of a well-known theorem of Molnár about families of compact and simply connected sets in the plane. A more general Helly-type theorem is established.
Registro:
| Documento: | Artículo |
| Título: | Intersections of compact simply connected planar sets |
| Autor: | Toranzos, F.A. |
| Filiación: | Departamento de Matematica, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina |
| Palabras clave: | Helly-type theorems; Molnár's Theorem; Simple polygons |
| Año: | 1997 |
| Volumen: | 66 |
| Número: | 5 |
| Página de inicio: | 349 |
| Página de fin: | 351 |
| Título revista: | Bulletin de la Societe Royale des Sciences de Liege |
| Título revista abreviado: | Bull Soc R Sci Liege |
| ISSN: | 00379565 |
| CODEN: | BSRSA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos |
Referencias:
- Ambrosio, B., Consecuencias del teorems topológico de Helly (1990) Revista Un. Mat. Argentina, 35, pp. 13-18
- Breen, M., A Helly-type theorem for simple polygons (1996) Geom. Dedicata, 60, pp. 283-288
- Danzer, L., Grünbaum, B., Klee, V., Helly's theorem and its relatives (1963) Proc. Sympus. Pure Math., 7, pp. 101-180. , Amer. Math. Soc
- Helly, E., Über Systeme abgeschlossener Mengen mit gemeinshaftlichen (1930) Punkten, Monatsh. Math., 37, pp. 281-302
- Molnár, J., Über eine Verallgemeirung auf die Kügelflache eines topologische Satzes von Helly (1956) Acta Math. Acad. Sci. Hungar., 7, pp. 107-108
- Molnár, J., Über den zweidimensionalen topologische satz von Helly (1957) Math. Lapok, 8, pp. 311-314
- Robkin, E., (1965) Characterization of Starshaped Sets, , Doctoral Dissertation, U. C. L. A
Citas:
---------- APA ----------
(1997) . Intersections of compact simply connected planar sets. Bulletin de la Societe Royale des Sciences de Liege, 66(5), 349-351.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos [ ]
---------- CHICAGO ----------
Toranzos, F.A. "Intersections of compact simply connected planar sets" . Bulletin de la Societe Royale des Sciences de Liege 66, no. 5 (1997) : 349-351.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos [ ]
---------- MLA ----------
Toranzos, F.A. "Intersections of compact simply connected planar sets" . Bulletin de la Societe Royale des Sciences de Liege, vol. 66, no. 5, 1997, pp. 349-351.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos [ ]
---------- VANCOUVER ----------
Toranzos, F.A. Intersections of compact simply connected planar sets. Bull Soc R Sci Liege. 1997;66(5):349-351.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos [ ]
