Separation, compactness, and sobriety in the category of constant limit spaces

Authors : Ayhan Erciyes, Muhammad Qasım, İsmail Alper Güvey

Pages : 319-335

Doi:10.31801/cfsuasmas.1336733

View : 154 | Download : 116

Publication Date : 2024-06-21

Article Type : Research Paper

Abstract :The objective of this article is to characterize each of compact, sober, and $T_{i}$ for $i=0,1,2$ constant limit spaces as well as to investigate the relationships between them. Finally, we compare our results in some topological categories.
Keywords : Topological category, closure operator, sober object, compacteness, constant limit space

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