A note on separation and compactness in categories of convergence spaces

Mehmet Baran, Muammer Kula

Abstract

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.


Keywords

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

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References

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1. Tychonoff Objects in the Topological Category of Cauchy Spaces
Muammer KULA, Sümeyye KULA
Mathematical Sciences and Applications E-Notes  vol: 6  issue: 2  first page: 28  year: 2018  
doi: 10.36753/mathenot.476787



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