A note on separation and compactness in categories of convergence spaces

• Baran, Mehmet ^[1] ; Kula, Muammer ^[1]
  1. [1] Erciyes University

     Erciyes University

     Turquía

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 4, Nº. 1, 2003, págs. 1-13
• Idioma: inglés
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• Resumen

  • In previous papers, various notions of compact, T3, T4, and Tychonoff objects in a topological category were introduced and compared. The main objective of this paper is to characterize each of these classes of objects in the categories of filter and local filter convergence spaces as well as to examine how these various generalizations are related.