Archiv der Mathematik

, Volume 58, Issue 6, pp 611–614 | Cite as

On the illumination of smooth convex bodies

  • Károly Bezdek
Article
Received:

Keywords

Convex Body Smooth Convex Smooth Convex Body 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    K.Bezdek, Hadwiger-Levi's covering problem revisited. Progress in Discrete and Computational Geometry, Berlin-Heidelberg-New York (to appear).Google Scholar
  2. [2]
    K. Bezdek, The problem of illumination of the boundary of a convex body by affine subspaces. Matematika38, 362–375 (1991).Google Scholar
  3. [3]
    V. G. Boltjansky, The problem of the illumination of the boundary of a convex body. In Russian, Izv. Mold. Fil. Akad. Nauk SSSR (76)10, 77–84 (1960).Google Scholar
  4. [4]
    V. G.Boltjansky and I.Gohberg, Results and problems in combinatorial geometry. Cambridge 1985.Google Scholar
  5. [5]
    I. Gohberg andA. S. Markus, A certain problem about the covering of convex sets with homothetic ones. In Russian, Izv. Mold Fil. Akad. Nauk SSSR (76)10, 87–90 (1960).Google Scholar
  6. [6]
    H. Hadwiger, Ungelöste Probleme, Nr. 20. Elem. Math.12, 121 (1957).Google Scholar
  7. [7]
    H. Hadwiger, Ungelöste Probleme, Nr. 38. Elem. Math.15, 130–131 (1960).Google Scholar
  8. [8]
    P. S. Soltan, Towards the problem of covering and illumination of convex sets. In Russian, Izv. Akad. Nauk. Mold. SSSR1, 49–57 (1963).Google Scholar

Copyright information

© Birkhäuser Verlag 1992

Authors and Affiliations

  • Károly Bezdek
    • 1
  1. 1.Dept. of GeometryEötvös L. UniversityBudapestHungary

Personalised recommendations