论文信息 - Quantitative Helly-type theorems

Quantitative Helly-type theorems

Keywords: Helly's theorem ; intersection of convex sets ; diameter ; volume ; Steinitz' theorem Note: Professor Pach's number: [017] Reference DCG-ARTICLE-1982-001doi:10.2307/2044407 Record created on 2008-11-14, modified on 2017-05-12

J. Pach | I. Bárány | M. Katchalski

[1] E. Steinitz. Bedingt konvergente Reihen und konvexe Systeme. , 1913 .

[2] J. Radon. Mengen konvexer Körper, die einen gemeinsamen Punkt enthalten , 1921 .

[3] E. Helly. Über Mengen konvexer Körper mit gemeinschaftlichen Punkte. , 1923 .

[4] THE DIMENSION OF INTERSECTIONS OF CONVEX SETS , 1962 .

[5] Branko Grünbaum,et al. The dimension of intersections of convex sets. , 1962 .

[6] V. Klee,et al. Helly's theorem and its relatives , 1963 .

[7] V. Klee,et al. Combinatorial Geometry in the Plane , 1964 .

[8] G. C. Shephard,et al. Convex Polytopes and the Upper Bound Conjecture , 1971 .

[9] Meir Katchalski. The dimension of intersections of convex sets , 1971 .