Some examples of continuous images of Radon-Nikodým compact spaces
Alexander D. Arvanitakis; Antonio Avilés
Czechoslovak Mathematical Journal (2009)
- Volume: 59, Issue: 4, page 1027-1038
- ISSN: 0011-4642
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topArvanitakis, Alexander D., and Avilés, Antonio. "Some examples of continuous images of Radon-Nikodým compact spaces." Czechoslovak Mathematical Journal 59.4 (2009): 1027-1038. <http://eudml.org/doc/37975>.
@article{Arvanitakis2009,
abstract = {We provide a characterization of continuous images of Radon-Nikodým compacta lying in a product of real lines and model on it a method for constructing natural examples of such continuous images.},
author = {Arvanitakis, Alexander D., Avilés, Antonio},
journal = {Czechoslovak Mathematical Journal},
keywords = {Radon-Nikodým compact},
language = {eng},
number = {4},
pages = {1027-1038},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some examples of continuous images of Radon-Nikodým compact spaces},
url = {http://eudml.org/doc/37975},
volume = {59},
year = {2009},
}
TY - JOUR
AU - Arvanitakis, Alexander D.
AU - Avilés, Antonio
TI - Some examples of continuous images of Radon-Nikodým compact spaces
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 4
SP - 1027
EP - 1038
AB - We provide a characterization of continuous images of Radon-Nikodým compacta lying in a product of real lines and model on it a method for constructing natural examples of such continuous images.
LA - eng
KW - Radon-Nikodým compact
UR - http://eudml.org/doc/37975
ER -
References
top- Arvanitakis, A. D., 10.4064/fm172-1-4, Fund. Math. 172 (2002), 41-60. (2002) Zbl1012.46021MR1898402DOI10.4064/fm172-1-4
- Avilés, A., 10.4064/sm166-1-5, Studia Math. 166 (2005), 71-82. (2005) MR2108319DOI10.4064/sm166-1-5
- Avilés, A., 10.1016/j.topol.2006.05.004, Topology Appl. 154 (2007), 404-409. (2007) MR2278688DOI10.1016/j.topol.2006.05.004
- Fabian, M., Gâteaux differentiability of convex functions and topology. Weak Asplund spaces, Canadian Mathematical Society Series of Monographs and Advanced Texts. New York. Zbl0883.46011MR1461271
- Fabian, M., Overclasses of the class of Radon-Nikodým compact spaces, Methods in Banach space theory. Proceedings of the V conference on Banach spaces, Cáceres, Spain, September 13-18, 2004. Cambridge: Cambridge University Press. London Mathematical Society Lecture Note Series 337 197-214 (2006). (2006) Zbl1149.46017MR2326387
- Fabian, M., Heisler, M., Matoušková, E., Remarks on continuous images of Radon-Nikodým compacta, Commentat. Math. Univ. Carol. 39 (1998), 59-69. (1998) MR1622332
- Iancu, M., Watson, S., On continuous images of Radon-Nikodým compact spaces through the metric characterization, Topol. Proc. 26 (2001-2002), 677-693. (2001) MR2032843
- Namioka, I., 10.1112/S0025579300013504, Mathematika 34 (1987), 258-281. (1987) Zbl0654.46017MR0933504DOI10.1112/S0025579300013504
- Namioka, I., On generalizations of Radon-Nikodým compact spaces, Proceedings of the 16th Summer Conference on General Topology and its Applications (New York). Topology Proc. 26 (2001/02), 741-750. (2001) MR2032847
- Orihuela, J., Schachermayer, W., Valdivia, M., 10.4064/sm-98-2-157-174, Studia Math. 98 (1991), 157-174. (1991) Zbl0771.46015MR1100920DOI10.4064/sm-98-2-157-174
- Douwen, E. K. van, The integers and topology, Handbook of set-theoretic topology, 111-167, North-Holland, Amsterdam (1984). (1984) MR0776622
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