Remarks on continuous images of Radon-Nikodym compacta
msra（1998）
摘要
A family of compact spaces containing continuous images of Radon-Nikodym 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 continu- ous image of a Radon-Nikodym compact K we prove: If K is totally disconnected, then it is Radon-Nikodym compact. If K is adequate, then it is even Eberlein compact.
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关键词
asplund generated space,continuous image of radon-nikodym compact,adequate compact,eberlein compact classification: 46b22,totally disconnected compact,compact space,banach space
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