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

Year 2024, Volume: 73 Issue: 2, 319 - 335, 21.06.2024

Ayhan Erciyes , Muhammad Qasım , İsmail Alper Güvey

https://doi.org/10.31801/cfsuasmas.1336733

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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