Illumination from within of the boundary of a convex body
Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 87-94
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In this paper the following question is answered: Under what conditions is the boundary of an unbounded convex body illuminated from within by some set of light sources? Bibliography: 4 titles.
@article{SM_1972_16_1_a6,
author = {V. G. Boltyanskii and P. S. Soltan},
title = {Illumination from within of the boundary of a~convex body},
journal = {Sbornik. Mathematics},
pages = {87--94},
year = {1972},
volume = {16},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1972_16_1_a6/}
}
V. G. Boltyanskii; P. S. Soltan. Illumination from within of the boundary of a convex body. Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 87-94. http://geodesic.mathdoc.fr/item/SM_1972_16_1_a6/
[1] N. Burbaki, Topologicheskie vektornye prostranstva, IL, Moskva, 1959
[2] B. Grünbaum, “Fixing systems and inner illumination”, Acta Math. Acad. Sci. Hung., 15 (1964), 161–163 | DOI | MR | Zbl
[3] L. Dantser, B. Gryunbaum, V. Kli, Teorema Khelli, Mir, Moskva, 1968
[4] P. S. Soltan, “Ob osveschenii granitsy vypuklogo tela iznutri”, Matem. sb., 57(99) (1962), 443–448 | MR | Zbl