Intersectional configuration of convex sets

  • Clinton M. Petty
Conference paper
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 490)

Keywords

Boundary Point Convex Body Nonempty Interior Supporting Plane Dual Figure 
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.
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References

  1. [1]
    T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Ergebnisse der Mathematik, Vol. 3, No. 1, Springer, Berlin, 1934.CrossRefMATHGoogle Scholar
  2. [2]
    J. Dugundji, Topology, Allyn and Bacon, Boston, 1966.MATHGoogle Scholar
  3. [3]
    J. Favard, Sur les corps convexes, J. Math. pures appl. (9) 12 (1933), 219–282.MathSciNetMATHGoogle Scholar
  4. [4]
    H. Minkowski, Theorie der konvexen Körper, insbesondere Bergrundung ihres Oberfläche, Math. Ann. 57 (1903), 447–495; Ges. Abh. Bd. 2, 230–276.MathSciNetCrossRefGoogle Scholar
  5. [5]
    F.A. Valentine, A three point convexity property, Pacific J. Math. 7 (1957), 1227–1235.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Clinton M. Petty
    • 1
  1. 1.University of MissouriUSA

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