On a class of some special sets on the k-skeleton of a convex compact set

DOI10.1007/BF02764990zbMath0706.46010MaRDI QIDQ919225

Leoni Dalla

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

increasing pathk-areak-skeleton

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets without dimension restrictions (aspects of convex geometry) (52A05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Cites Work

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• Increasing paths on the one-skeleton of a convex compact set in a normed space
• Increasing paths leading to a face of a convex compact set in a Hilbert space
• On the number of disjoint increasing paths in the one-skeleton of a convex body leading to a given exposed face
• On the One-Skeleton of a Compact Convex Set in a Banach Space
• The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space
• Increasing Paths on the One-Skeleton of a Convex Body and the Directions of Line Segments on the Boundary of a Convex Body

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