Adequate families of sets and Corson compacts
Arkady Leiderman, Genadij A. Sokolov · Czech digital mathematics library · 1984
In this paper we construct an example of a Corson compact X for which the space C (X) fails to he a Lindelof 22 -space.This example gives the negative answer for one problem of A.V. Arhangel skii.The notion of an adequate family is used.We establish its connection with the classes of Sberlein and Corson compacts and also with some set theoretic problems.