Sets expressible as finite unions of starshaped sets
Several papers have appeared with descriptions of sets that are expressible as unions of 2 or 3 starshaped sets. The general problem is relevant since it is closely related to the classical "Art Gallery Problem". Some new solutions, for generic values of the parameters, are presented here....
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2004
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 03238caa a22004337a 4500 | ||
|---|---|---|---|
| 001 | PAPER-21094 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205231.0 | ||
| 008 | 190411s2004 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-55449121104 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Toranzos, F.A. | |
| 245 | 1 | 0 | |a Sets expressible as finite unions of starshaped sets |
| 260 | |c 2004 | ||
| 270 | 1 | 0 | |m Toranzos, F.A.; Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina; email: fautor@sinectis.com.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Breen, M., Clear visibility and unions of two starshaped sets in the plane (1984) Pacific J., 115, pp. 267-275 | ||
| 504 | |a Breen, M., A Krasnosel'skii-type theorem for unions of two starshaped sets in the plane (1985) Pacific J., 120, pp. 19-31 | ||
| 504 | |a Breen, M., Zamfirescu, T., A characterization theorem for certain unions of two starshaped sets in R2 (1987) Geom. Dedicata, 6, pp. 95-103 | ||
| 504 | |a Breen, M., Characterizing compact unions of two starshaped sets in Rd (1989) J. Geom., 35, pp. 14-19 | ||
| 504 | |a Breen, M., Unions of three starshaped sets in R2 (1989) J. Geom., 36, pp. 8-16 | ||
| 504 | |a Koch, C.F., Marr, J.M., A characterization of unions of two star-shaped sets (1966) Proc. Amer. Math. Soc., 17, pp. 1341-1343 | ||
| 504 | |a Stavrakas, N.M., The dimension of the convex kernel and points of local nonconvexity (1972) Proc. Amer. Math. Soc., 34, pp. 222-224 | ||
| 504 | |a Toranzos, F.A., Radial functions of convex and star-shaped bodies (1967) Amer. Math. Monthly, 74, pp. 278-280 | ||
| 504 | |a Valentine, F.A., Local convexity and Ln sets (1965) Proc. Amer. Math. Soc., 16, pp. 197-202 | ||
| 520 | 3 | |a Several papers have appeared with descriptions of sets that are expressible as unions of 2 or 3 starshaped sets. The general problem is relevant since it is closely related to the classical "Art Gallery Problem". Some new solutions, for generic values of the parameters, are presented here. These solutions are adaptations of known characterizations of starshaped sets. © Birkhäuser Verlag, Basel, 2004. |l eng | |
| 593 | |a Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a ART GALLERY PROBLEM |
| 690 | 1 | 0 | |a POINT OF LOCAL NONCONVEXITY |
| 690 | 1 | 0 | |a UNION OF STARSHAPED SETS |
| 700 | 1 | |a Cunto, A.F. | |
| 773 | 0 | |d 2004 |g v. 79 |h pp. 190-195 |k n. 1-2 |p J. Geom. |x 00472468 |t Journal of Geometry | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-55449121104&doi=10.1007%2fs00022-003-1563-8&partnerID=40&md5=96eac91b47c537a0232cda3438c7876e |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00022-003-1563-8 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00472468_v79_n1-2_p190_Toranzos |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00472468_v79_n1-2_p190_Toranzos |y Registro en la Biblioteca Digital |
| 961 | |a paper_00472468_v79_n1-2_p190_Toranzos |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 82047 | ||