Separation, connectedness, and disconnectedness

Authors

MEHMET BARAN

DOI

10.55730/1300-0098.3360

Abstract

The aim of this paper is to introduce the notions of hereditarily disconnected and totally disconnected objects in a topological category and examine the relationship as well as interrelationships between them. Moreover, we characterize each of $T_{2}$, connected, hereditarily disconnected, and totally disconnected objects in some topological categories and compare our results with the ones in the category of topological spaces.

Keywords

Closure operator, $T _{2}$ spaces, connected spaces, hereditarily disconnected spaces, totally disconnected spaces

First Page

279

Last Page

295

Recommended Citation

BARAN, MEHMET (2023) "Separation, connectedness, and disconnectedness," Turkish Journal of Mathematics: Vol. 47: No. 1, Article 19. https://doi.org/10.55730/1300-0098.3360
Available at: https://journals.tubitak.gov.tr/math/vol47/iss1/19