Advertisement

Ukrainian Mathematical Journal

, Volume 65, Issue 11, pp 1733–1742 | Cite as

ON the Openness of Functors of k-Nonexpanding and Weakly Additive Functionals

  • L. I. Karchevs’ka
Article
  • 25 Downloads

We study the property of openness of the functors for k -nonexpanding and weakly additive functionals. In particular, it is shown that these functors preserve the openness of mappings between finite compact sets but they are not open.

Keywords

Open Mapping Compact Convex Additive Functional Compact Hausdorff Space Compact Convex Subset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. V. Shchepin, “Functors and uncountable powers of compact sets,” Usp. Mat. Nauk, 36, 3–62 (1981).zbMATHMathSciNetGoogle Scholar
  2. 2.
    L. Bazylevych, D. Repovˇs, and M. Zarichnyi, “Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces,” Topol. Its Appl., 155, 764–772 (2008).CrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    J. Camargo, “The functor of nonexpanding functionals,” Rev. Integr. Temas Mat., 20, 1–12 (2002).MathSciNetGoogle Scholar
  4. 4.
    S. Ditor and L. Eifler, “Some open mapping theorems for measures,” Trans. Amer. Math. Soc., 164, 287–293 (1972).CrossRefzbMATHMathSciNetGoogle Scholar
  5. 5.
    L. Karchevska and T. Radul, “Some properties of the functor of nonexpanding functionals,” Mat. Stud., 31, 135–141 (2009).zbMATHMathSciNetGoogle Scholar
  6. 6.
    A. Teleiko and M. Zarichnyi, Categorical Topology of Compact Hausdorff Spaces, VNTL Publishers, Lviv (1999).Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • L. I. Karchevs’ka
    • 1
  1. 1.Franko Lviv National UniversityLvivUkraine

Personalised recommendations