J Austral Math Soc Ser A 43 pp287--290, 1987.

Typical Convex Sets of Convex Sets

T. Schwarz

(Received 4 March 1986)

Abstract

There exists a natural notion of convexity in the space of all compact convex sets in R^d. Thus, we may consider the space of all bounded closed convex families of compact convex sets. We present here a strange generic extremal behaviour of the elements of this space.

1980 AMS Subject Classification: 52A05

Browse the article

Read the article in your browser. (Scale your print to fit your paper).

Authors

T. Schwarz: Department of Mathematics, Ohio State University, Mansfield, Ohio 44906, U.S.A.
T. Zamfirescu: Fachbereich Mathematik, Universität Dortmund, 46 Dortmund, Federal Republic of Germany.

Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au

Last Modified: Wed Feb 26 16:48:07 2003