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Some examples of continuous images of Radon-Nikodým compact spaces

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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.

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References

  1. A. D. Arvanitakis: Some remarks on Radon-Nikodým compact spaces. Fund. Math. 172 (2002), 41–60.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Avilés: Radon-Nikodým compact spaces of low weight and Banach spaces. Studia Math. 166 (2005), 71–82.

    Article  MATH  MathSciNet  Google Scholar 

  3. A. Avilés: Linearly ordered Radon-Nikodým compact spaces. Topology Appl. 154 (2007), 404–409.

    Article  MATH  MathSciNet  Google Scholar 

  4. M. Fabian: Gâteaux differentiability of convex functions and topology. Weak Asplund spaces. Canadian Mathematical Society Series of Monographs and Advanced Texts. New York.

  5. M. Fabian: 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 (2006), 197–214.

    Google Scholar 

  6. M. Fabian, M. Heisler and E. Matoušková: Remarks on continuous images of Radon-Nikodým compacta. Commentat. Math. Univ. Carol. 39 (1998), 59–69.

    MATH  Google Scholar 

  7. M. Iancu and S. Watson: On continuous images of Radon-Nikodým compact spaces through the metric characterization. Topol. Proc. 26 (2001–2002), 677–693.

    MathSciNet  Google Scholar 

  8. I. Namioka: Radon-Nikodým compact spaces and fragmentability. Mathematika 34 (1987), 258–281.

    Article  MATH  MathSciNet  Google Scholar 

  9. I. Namioka: 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.

    MathSciNet  Google Scholar 

  10. J. Orihuela, W. Schachermayer and M. Valdivia: Every Radon-Nikodým Corson compact space is Eberlein compact. Studia Math. 98 (1991), 157–174.

    MATH  MathSciNet  Google Scholar 

  11. E. K. van Douwen: The integers and topology. Handbook of set-theoretic topology, 111–167, North-Holland, Amsterdam, 1984.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, 15780, Greece

    Alexander D. Arvanitakis

  2. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100, Murcia, Spain

    Antonio Avilés

Authors
  1. Alexander D. Arvanitakis
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  2. Antonio Avilés
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Corresponding author

Correspondence to Alexander D. Arvanitakis.

Additional information

The second author was supported by the Marie Curie Intra-European Fellowship MCEIF-CT2006-038768 and research projects MTM2005-08379 (MEC and FEDER) and Séneca 00690/PI/04.

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Arvanitakis, A.D., Avilés, A. Some examples of continuous images of Radon-Nikodým compact spaces. Czech Math J 59, 1027–1038 (2009). https://doi.org/10.1007/s10587-009-0072-9

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  • DOI: https://doi.org/10.1007/s10587-009-0072-9

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