Vol. 53, No. 2, 1974

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
A note on starshaped sets, (k)-extreme points and the half ray property

N. Stavrakas

Vol. 53 (1974), No. 2, 627–628
Abstract

Let S be a compact subset of Ra,d 2.S is said to have the half-ray property if for each point x of the complement of S there exists a half line with x as vertex having empty intersection with S. It is proven that S is starshaped iff S has the half-ray property and the intersection of the stars of the (d 2)-extreme points is not empty.

Mathematical Subject Classification 2000
Primary: 52A30
Milestones
Received: 9 November 1973
Published: 1 August 1974
Authors
N. Stavrakas