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
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• 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.