Concerning dentability

M. Edelstein

Vol. 46 (1973), No. 1, 111–114

DOI: 10.2140/pjm.1973.46.111

Abstract

It is shown that c₀ contains a closed and bounded convex body which is dentable but fails to have extreme points. On the other hand, there exists a strictly convex, closed, symmetric, convex body which fails to be dentable. (Thus dentability is, in general, unrelated to extremal structure.)

Mathematical Subject Classification

Primary: 46B05

Milestones

Received: 27 January 1972

Published: 1 May 1973