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The Cech number of Cp(X) when X is an ordinal space

  • Alas, Ofelia T. [1] ; Tamariz-Mascarúa, Ángel [2]
    1. [1] Universidade de São Paulo

      Universidade de São Paulo

      Brasil

    2. [2] Universidad Nacional Autónoma de México

      Universidad Nacional Autónoma de México

      México

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 1, 2008, págs. 67-76
  • Idioma: inglés
  • DOI: 10.4995/agt.2008.1870
  • Enlaces
  • Resumen
    • The Cech number of a space Z, C(Z), is the pseudocharacter of Z in βZ. In this article we obtain, in ZFC and assuming SCH, some upper and lower bounds of the  Cech number of spaces Cp(X) of realvalued continuous functions defined on an ordinal space X with the pointwise convergence topology.

  • Referencias bibliográficas
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    • O. Okunev and A. Tamariz-Mascarúa, On theCech number of Cp(X), Topology Appl. 137 (2004), 237–249. http://dx.doi.org/10.1016/S0166-8641(03)00213-X
    • V. V. Tkachuk, Decomposition of Cp(X) into a countable union of subspaces with “good” properties implies “good” properties of Cp(X), Trans....

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