Charles University in Prague, Faculty of Mathematics and Physics
Abstract
summary:A family of compact spaces containing continuous images of Radon-Nikod'ym compacta is introduced and studied. A family of Banach spaces containing subspaces of Asplund generated (i.e., GSG) spaces is introduced and studied. Further, for a continuous image of a Radon-Nikod'ym compact K we prove: If K is totally disconnected, then it is Radon-Nikod'ym compact. If K is adequate, then it is even Eberlein compact
