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Facial structure of the sum of two compact convex sets

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References

  1. Alfsen, E. M.: On the geometry of Choquet simplexes. Mathematica Scandanavica15, 97–110 (1964).

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  2. Alfsen, E. M.: Compact convex sets and boundary integrals. Berlin-Heidelberg-New York: Springer 1971.

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  3. Grunbaum, B.: Convex polytopes, pure and applied mathematics, Vol. XVI. New York: Interscience Publishers 1967.

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  4. Husain, T., Tweddle, I.: On the extreme points of the sum of two compact convex sets. Math. Annalen,188, 113–122 (1970).

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  5. Hustad, O.: Extreme points of convex sets. Matematisk Seminar, Universitetet i Oslo, Nr. 3, Mars 1965.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Colaba, Bombay 5, India

    A. K. Roy

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  1. A. K. Roy
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This paper was written while the author was visiting the Mathematical Institute, Oxford, on leave from the Tata Institute of Fundamental Research, Bombay.

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Roy, A.K. Facial structure of the sum of two compact convex sets. Math. Ann. 197, 189–196 (1972). https://doi.org/10.1007/BF01428225

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  • DOI: https://doi.org/10.1007/BF01428225

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