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Reconstructing dimensions of intersections of convex sets. (English) Zbl 0408.52001

52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
52A35 Helly-type theorems and geometric transversal theory
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[1] Danzer, L., Grünbaum, B. andKlee, V.,Helly’s theorem and its relatives. Proceedings of Symposia in Pure Mathematics, Vol. 7, ”Convexity,” Amer. Math. Soc. (1963), 101–180. · Zbl 0132.17401
[2] Katchalski, M.,The dimension of intersections of convex sets. Israel J. Math.10 (1971), 465–470. · Zbl 0226.52002 · doi:10.1007/BF02771734
[3] Katchalski, M.,The dimensions of intersections of convex sets. Ph.D. Thesis, 1974. Hebrew University, Jerusalem, Israel, 1974. · Zbl 0408.52001
[4] Katchalski, M.,Some properties of families of convex cones. Trans. Amer. Math. Soc., to appear. · Zbl 0363.52006
[5] Katchalski, M.,Non-degenerate families of convex cones and convex polytopes. To appear. · Zbl 0416.52003
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