Remarks on continuous images of Radon-Nikodým compacta
Fabián, Marián J. ; Heisler, Martin ; Matoušková, Eva
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 59-69 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1998-01-01
Classification:  46B22 
@article{118985,
     author = {Mari\'an J. Fabi\'an and Martin Heisler and Eva Matou\v skov\'a},
     title = {Remarks on continuous images of Radon-Nikod\'ym compacta},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {59-69},
     zbl = {0937.46015},
     mrnumber = {1622332},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118985}
}

Fabián, Marián J.; Heisler, Martin; Matoušková, Eva. Remarks on continuous images of Radon-Nikodým compacta. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 59-69. http://gdmltest.u-ga.fr/item/118985/

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