Über die j-ten Überdeckungsdichten konvexer Körper. (On the j-th covering densities of convex bodies)

DOI10.1007/BF01364340zbMath0624.52006MaRDI QIDQ578591

Peter Gritzmann

Publication date: 1987

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178326

zbMATH Keywords

intrinsic volumecovering densityconvex body in Euclidean n-space

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Cites Work

• Research problem 33
• On two finite covering problems of Bambah, Rogers, Woods and Zassenhaus
• The approximation of convex sets by polyhedra
• Curvature measures of convex bodies
• Metric entropy of some classes of sets with differentiable boundaries
• Sausage‐skin problems for finite coverings
• Convex bodies which tile space by translation
• Non-linear angle-sum relations for polyhedral cones and polytopes
• On coverings with convex domains
• On plane coverings with convex domains
• Covering the Plane with Convex Sets
• Ein Approximationssatz für konvexe Körper
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