Remarks on continuous images of Radon-Nikodým compacta
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 59-69
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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.
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.
Classification :
46B22
Keywords: Asplund generated space; continuous image of Radon-Nikodym compact; totally disconnected compact; adequate compact; Eberlein compact
Keywords: Asplund generated space; continuous image of Radon-Nikodym compact; totally disconnected compact; adequate compact; Eberlein compact
@article{CMUC_1998_39_1_a6,
author = {Fabian, M. and Heisler, M. and Matou\v{s}kov\'a, E.},
title = {Remarks on continuous images of {Radon-Nikod\'ym} compacta},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {59--69},
year = {1998},
volume = {39},
number = {1},
mrnumber = {1622332},
zbl = {0937.46015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a6/}
}
TY - JOUR AU - Fabian, M. AU - Heisler, M. AU - Matoušková, E. TI - Remarks on continuous images of Radon-Nikodým compacta JO - Commentationes Mathematicae Universitatis Carolinae PY - 1998 SP - 59 EP - 69 VL - 39 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a6/ LA - en ID - CMUC_1998_39_1_a6 ER -
Fabian, M.; Heisler, M.; Matoušková, E. Remarks on continuous images of Radon-Nikodým compacta. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 59-69. http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a6/