Adequate families of sets and function spaces Academic Article uri icon


  • Abstract; Let X be an Eberlein-Grothendieck s space possessing the only one nonisolated point. In this paper we show that the space X is completely described in terms of adequate families of sets. As an application it is prdved that for this space X the space C (X) is K- analytic (a Lindelbf 2E-space) iff X satisfies some property (A)(is a Lindelbf 2E-space). Other applications concerning the space C (K), where K is a Corson compact, are obtained.

publication date

  • January 1, 1988