Artículo
Losada, M.P.; Cunto, A.F.; Toranzos, F.A. "Must the visibility function of an open set be continuous?" (2008) Bulletin de la Societe Royale des Sciences de Liege. 77:1-8
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Abstract:
The visibility function of a set S was defined in 1972 by G. Beer. This function evaluates the Lebesgue outer measure of the star of each point of S. The continuity of this function for compact sets was studied by its creator. Recently, the present authors settled the problem of continuity in the boundary of a compact set S. The question of the continuity in the case where S is an open bounded set - proposed by G. Beer - is still unsettled. We show here that the continuity of the visibility function does not depend on the boundedness of the open set S.
Registro:
| Documento: | Artículo |
| Título: | Must the visibility function of an open set be continuous? |
| Autor: | Losada, M.P.; Cunto, A.F.; Toranzos, F.A. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina |
| Palabras clave: | Visibility function; Visibility in open sets |
| Año: | 2008 |
| Volumen: | 77 |
| Página de inicio: | 1 |
| Página de fin: | 8 |
| Título revista: | Bulletin de la Societe Royale des Sciences de Liege |
| Título revista abreviado: | Bull Soc R Sci Liege |
| ISSN: | 17835720 |
| CODEN: | BSRSA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17835720_v77_n_p1_Losada |
Citas:
---------- APA ----------
Losada, M.P., Cunto, A.F. & Toranzos, F.A. (2008) . Must the visibility function of an open set be continuous?. Bulletin de la Societe Royale des Sciences de Liege, 77, 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17835720_v77_n_p1_Losada [ ]
---------- CHICAGO ----------
Losada, M.P., Cunto, A.F., Toranzos, F.A. "Must the visibility function of an open set be continuous?" . Bulletin de la Societe Royale des Sciences de Liege 77 (2008) : 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17835720_v77_n_p1_Losada [ ]
---------- MLA ----------
Losada, M.P., Cunto, A.F., Toranzos, F.A. "Must the visibility function of an open set be continuous?" . Bulletin de la Societe Royale des Sciences de Liege, vol. 77, 2008, pp. 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17835720_v77_n_p1_Losada [ ]
---------- VANCOUVER ----------
Losada, M.P., Cunto, A.F., Toranzos, F.A. Must the visibility function of an open set be continuous?. Bull Soc R Sci Liege. 2008;77:1-8.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17835720_v77_n_p1_Losada [ ]
