| Title:
|
Some examples of continuous images of Radon-Nikodým compact spaces (English) |
| Author:
|
Arvanitakis, Alexander D. |
| Author:
|
Avilés, Antonio |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
1027-1038 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Radon-Nikodým compact |
| MSC:
|
46B26 |
| MSC:
|
54G12 |
| idZBL:
|
Zbl 1224.46030 |
| idMR:
|
MR2563575 |
| . |
| Date available:
|
2010-07-20T15:55:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140534 |
| . |
| Reference:
|
[1] Arvanitakis, A. D.: Some remarks on Radon-Nikodým compact spaces.Fund. Math. 172 (2002), 41-60. Zbl 1012.46021, MR 1898402, 10.4064/fm172-1-4 |
| Reference:
|
[2] Avilés, A.: Radon-Nikodým compact spaces of low weight and Banach spaces.Studia Math. 166 (2005), 71-82. MR 2108319, 10.4064/sm166-1-5 |
| Reference:
|
[3] Avilés, A.: Linearly ordered Radon-Nikodým compact spaces.Topology Appl. 154 (2007), 404-409. MR 2278688, 10.1016/j.topol.2006.05.004 |
| Reference:
|
[4] Fabian, M.: Gâteaux differentiability of convex functions and topology. Weak Asplund spaces.Canadian Mathematical Society Series of Monographs and Advanced Texts. New York. Zbl 0883.46011, MR 1461271 |
| Reference:
|
[5] 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). Zbl 1149.46017, MR 2326387 |
| Reference:
|
[6] Fabian, M., Heisler, M., Matoušková, E.: Remarks on continuous images of Radon-Nikodým compacta.Commentat. Math. Univ. Carol. 39 (1998), 59-69. MR 1622332 |
| Reference:
|
[7] Iancu, M., Watson, S.: On continuous images of Radon-Nikodým compact spaces through the metric characterization.Topol. Proc. 26 (2001-2002), 677-693. MR 2032843 |
| Reference:
|
[8] Namioka, I.: Radon-Nikodým compact spaces and fragmentability.Mathematika 34 (1987), 258-281. Zbl 0654.46017, MR 0933504, 10.1112/S0025579300013504 |
| Reference:
|
[9] 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. MR 2032847 |
| Reference:
|
[10] Orihuela, J., Schachermayer, W., Valdivia, M.: Every Radon-Nikodým Corson compact space is Eberlein compact.Studia Math. 98 (1991), 157-174. Zbl 0771.46015, MR 1100920, 10.4064/sm-98-2-157-174 |
| Reference:
|
[11] Douwen, E. K. van: The integers and topology.Handbook of set-theoretic topology, 111-167, North-Holland, Amsterdam (1984). MR 0776622 |
| . |
