On Gluing of Quasi-Pseudometric Spaces

Document Type : Original Article


1 School of Mathematical Sciences, North-West University (Mafikeng Campus), Private Bag X2046, Mmabatho 2735, South Africa.

2 School of Mathematics, University of the Witwatersrand Johannesburg 2050, South Africa.


The concept of gluing a family of $T_0$-quasi-metric spaces along subsets was introduced by Otafudu. In this article, we continue the study of externally Isbell-convex and weakly externally Isbell-convex subsets of a $T_0$-quasi-metric space. We finally investigate some properties of the resulting $T_0$-quasi-metric space obtained by gluing a family of Isbell-convex $T_0$-quasi-metric spaces attached
along isometric subspaces.