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September 10, 2025FilomatOpen Access

Separation and compactness in topological categories

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The paper examines separation properties and compactness in topological categories, indicating significant structural insights.

The study reveals that several properties of closedness and compactness extend beyond traditional set-based frameworks, enhancing the topological understanding.
In particular, it shows that the KT2 ConFCO and Chy categories are isomorphic, illustrating a deep connection between different types of convergence spaces.
An analysis of strongly compact constant filter convergence spaces is presented, linking their characteristics to broader topological concepts for practical applications.
The findings underline potential invariance properties, suggesting these results could influence future research in topological spaces and their applications.

Mehmet Baran (2025) studied this question.

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