Hausdorff Objects

Year 2025, Early Access, 1 - 11

Mehmet Baran

https://doi.org/10.15672/hujms.1442454

Abstract

In previous papers, several extensions of the T2 separation property in topology to a
topological category were compared. The aim of this paper is to develop further results
relating to these extensions as well as to solve several unsolved problems. Moreover, we
show one of these T2, namely KT2 limit spaces and reciprocal limit spaces are equivalent
and every KT2 limit space induces the associated complete uniform limit space. Finally,
we compare our results and give some applications.

Keywords

reciprocal limit spaces, uniform limit spaces, T2 objects, sober spaces

References

• [1] J. Adámek, H. Herrlich, and G. E. Strecker, Abstract and Concrete Categories, Wiley, New York, 1990