Rendiconti del Circolo Matematico di Palermo

, Volume 14, Issue 1, pp 34–42 | Cite as

Extended topology: Caratheodory's theorem on convex hulls

  • Preston C. Hammer


Convex Hull Finite Subset Open Sector Circular Cone Closure Function 


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  1. [1]
    P. C. Hammer,Semispace and the topology of Convexity, Proceeding of Symposia in Pure Mathematics, Vol. VII, CONVEXITY, American Math. Society (1963).Google Scholar
  2. [2]
    P. C. Hammer,Extended topology: Domain finiteness, Indag. Math. 25 (1963), pp. 200–212.MathSciNetGoogle Scholar
  3. [3]
    P. C. Hammer,Extended topology: Structures of isotonic functions, Journal fur die reine und Angewandte Mathematik, Vol. 213 (1964), pp. 174–186.MATHMathSciNetCrossRefGoogle Scholar
  4. [4]
    W. Bonnice and V. L. Klee,The Generation of Convex Hulls, Math. Annalen 152, (1963) pp. 1–29.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 1965

Authors and Affiliations

  • Preston C. Hammer
    • 1
  1. 1.University ParkU.S.A.

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