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

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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