Subbases, convex sets, and hyperspaces

Jan van Mill and Marcel Lodewijk Johanna van de Vel

Vol. 92 (1981), No. 2, 385–402

DOI: 10.2140/pjm.1981.92.385

Abstract

We introduce a notion of topological convexity. Main topics are: compactness of convexity structures, continuity of convex closure operators, and characterization of convex sets.

Mathematical Subject Classification 2000

Primary: 52A01

Secondary: 46A99

Milestones

Received: 18 March 1977

Revised: 28 May 1980

Published: 1 February 1981