Remarks on continuous images of Radon-Nikodým compacta

Marián J. Fabián; Martin Heisler; Eva Matoušková

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 1, page 59-69
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Fabián, Marián J., Heisler, Martin, and Matoušková, Eva. "Remarks on continuous images of Radon-Nikodým compacta." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 59-69. <http://eudml.org/doc/248260>.

@article{Fabián1998,
abstract = {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.},
author = {Fabián, Marián J., Heisler, Martin, Matoušková, Eva},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Asplund generated space; continuous image of Radon-Nikodym compact; totally disconnected compact; adequate compact; Eberlein compact; Asplund generated space; continuous image of Radon-Nikodým compact; totally disconnected compact; adequate compact; Eberlein compact},
language = {eng},
number = {1},
pages = {59-69},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on continuous images of Radon-Nikodým compacta},
url = {http://eudml.org/doc/248260},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Fabián, Marián J.
AU - Heisler, Martin
AU - Matoušková, Eva
TI - Remarks on continuous images of Radon-Nikodým compacta
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 59
EP - 69
AB - 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.
LA - eng
KW - Asplund generated space; continuous image of Radon-Nikodym compact; totally disconnected compact; adequate compact; Eberlein compact; Asplund generated space; continuous image of Radon-Nikodým compact; totally disconnected compact; adequate compact; Eberlein compact
UR - http://eudml.org/doc/248260
ER -

References

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