Skip to main content
Log in

Supporting spheres for families of independent convex sets

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. G. D. Chakerian, Intersection and covering properties of convex sets. Amer. Math. Monthly76, 753–766 (1969).

    Google Scholar 

  2. E. Helly, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten. J.-Ber. Deutsch. Math. Verein.32, 175–176 (1923).

    Google Scholar 

  3. V. Klee, Convexity of Chebyshev sets. Math. Ann.142, 292–304 (1961).

    Google Scholar 

  4. H. Rademacher andI. J. Schoenberg, Helly's theorems on convex domains and Tschebycheff's approximation problem. Canad. J. Math. 2, 245–256 (1950).

    Google Scholar 

  5. J. Radon, Mengen konvexer Körper, die einen gemeinsamen Punkt enthalten. Math. Ann. 83, 113–115 (1921).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kermer, H., Németh, A.B. Supporting spheres for families of independent convex sets. Arch. Math 24, 91–96 (1973). https://doi.org/10.1007/BF01228180

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01228180

Keywords

Navigation