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Intersectional configuration of convex sets

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Part of the Lecture Notes in Mathematics book series (LNM,volume 490)

Keywords

  • Boundary Point
  • Convex Body
  • Nonempty Interior
  • Supporting Plane
  • Dual Figure

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References

  1. T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Ergebnisse der Mathematik, Vol. 3, No. 1, Springer, Berlin, 1934.

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  2. J. Dugundji, Topology, Allyn and Bacon, Boston, 1966.

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  3. J. Favard, Sur les corps convexes, J. Math. pures appl. (9) 12 (1933), 219–282.

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  4. H. Minkowski, Theorie der konvexen Körper, insbesondere Bergrundung ihres Oberfläche, Math. Ann. 57 (1903), 447–495; Ges. Abh. Bd. 2, 230–276.

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  5. F.A. Valentine, A three point convexity property, Pacific J. Math. 7 (1957), 1227–1235.

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Dedicated to Leonard M. Blumenthal

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© 1975 Springer-Verlag

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Petty, C.M. (1975). Intersectional configuration of convex sets. In: Kelly, L.M. (eds) The Geometry of Metric and Linear Spaces. Lecture Notes in Mathematics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081142

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  • DOI: https://doi.org/10.1007/BFb0081142

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07417-5

  • Online ISBN: 978-3-540-37946-1

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