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

https://izlik.org/JA58YW27FN

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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