Compacts de Rosenthal

Gilles Godefroy

Vol. 91 (1980), No. 2, 293–306

DOI: 10.2140/pjm.1980.91.293

Abstract

We study in this work a class of compacts spaces which extends in a natural way the class of metrizable compact spaces. We clarify stability properties of this class under the usual operations, and some topological properties of these compacts spaces. Applications are given on property (𝒞) of Banach spaces, on sub-algebras of l^∞(N), on Boolean sub-algebras of 𝒫(N).

Mathematical Subject Classification 2000

Primary: 54C99

Secondary: 46B20, 54E99

Milestones

Received: 3 March 1978

Revised: 30 January 1980

Published: 1 December 1980