A note on separation and compactness in categories of convergence spaces


  • Mehmet Baran Erciyes University
  • Muammer Kula Erciyes University




Topological category, Filter convergence spaces, Tychonoff objects, Compact objects, Normal objects


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.


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Author Biographies

Mehmet Baran, Erciyes University

Department of Mathematics

Muammer Kula, Erciyes University

Department of Mathematics


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How to Cite

M. Baran and M. Kula, “A note on separation and compactness in categories of convergence spaces”, Appl. Gen. Topol., vol. 4, no. 1, pp. 1–13, Apr. 2003.



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