Mathematika

Table of Contents - June 1977 - Volume 24, Issue 01  

Research Article

Nonclosed simplices and quasi-simplices

René Fourneaua1

a1 Institut de Mathématique, Université de Liège, 15, avenue des Tilleuls, B-4000, Liège

A quasi-simplex of d is the closure of a Choquet simplex of d. We characterize these quasi-simplices and we use this characterization to describe the line-free Choquet simplices of d.

(Received November 24 1976)

Key Words:

  • 52A20: CONVEX SETS; Convex sets in n dimensions