Geodesic
Some remarks on Radon–Nikodym compact spaces
Alexander D. Arvanitakis1
1 Department of Mathematics University of Athens 15784 Panepistimiopolis, Athens, Greece
Fundamenta Mathematicae, Tome 172 (2002) no. 1, pp. 41-60

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The class of quasi Radon–Nikodým compact spaces is introduced. We prove that this class is closed under countable products and continuous images. It includes the Radon–Nikodým compact spaces. Adapting Alster's proof we show that every quasi Radon–Nikodým and Corson compact space is Eberlein. This generalizes earlier results by J. Orihuela, W. Schachermayer, M. Valdivia and C. Stegall. Further the class of almost totally disconnected spaces is defined and it is shown that every quasi Radon–Nikodým space which is almost totally disconnected is actually a Radon–Nikodým compact space embeddable in the space of probability measures on a scattered compact space.
DOI : 10.4064/fm172-1-4
Keywords: class quasi radon nikod compact spaces introduced prove class closed under countable products continuous images includes radon nikod compact spaces adapting alsters proof every quasi radon nikod corson compact space eberlein generalizes earlier results orihuela schachermayer valdivia stegall further class almost totally disconnected spaces defined shown every quasi radon nikod space which almost totally disconnected actually radon nikod compact space embeddable space probability measures scattered compact space

Alexander D. Arvanitakis 1

1 Department of Mathematics University of Athens 15784 Panepistimiopolis, Athens, Greece 
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Alexander D. Arvanitakis. Some remarks on Radon–Nikodym compact spaces. Fundamenta Mathematicae, Tome 172 (2002) no. 1, pp. 41-60. doi: 10.4064/fm172-1-4

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