p-Compact, p-Bounded and p-Complete

• Vera Mendoza, Rigoberto ^[1]
  1. [1] Universidad Michoacana de San Nicolás de Hidalgo

     Universidad Michoacana de San Nicolás de Hidalgo

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 12, Nº. 1, 2011, págs. 17-25
• Idioma: inglés
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• Resumen

  • In this paper the nonstandard theory of uniform topological spaces isapplied with two main objectives: (1) to give a nonstandard treatmentof Bernstein’s concept of p-compactness with additional results, (2) tointroduce three new concepts (p,q)-compactness, p-totally boundednessand p-completeness. I prove some facts about them and how these threeconcepts are related with p-compactness.