Arcs on the circle and p-tuplets on the line

✍ Scribed by M. Katchalski; A. Liu

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 963 KB
• Volume: 27
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(79)90069-4

✦ Synopsis

The object of this paper is to study some intersectional properties of certain families of sets on the circle and on the line. On the circle the families consist of arcs, and on the line they consist of unions of p intervals for some p > 1. The results are related to the classical theorem of Helly and to a result of Griinbaum and Motzkir..