Displaying similar documents to “Every Radon-Nikodym Corson compact space is Eberlein compact”

Remarks on continuous images of Radon-Nikodým compacta

Marián J. Fabián, Martin Heisler, Eva Matoušková (1998)

Commentationes Mathematicae Universitatis Carolinae

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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.