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The aim of this paper is to propose a categorical definition of extremally disconnected and Stone objects (spaces) in a topological category and examine the relationship between them. Moreover, we characterize each of Tk, k = 0, 1, 2, compact, extremally disconnected, and Stone (transitive) spatial graphs and prebornological spaces as well as investigate some properties of them. Finally, we compare our results.
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Mehmet Baran (2024) studied this question.
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