4 papers · 1 filter
Lifted Takahashi Convexity on the Isbell-Convex Hull of an Asymmetrically Normed Real Vector Space
Philani Rodney Majozi, Mcedisi Sphiwe Zweni
Künzi and Yildiz introduced convexity structures in the sense of Takahashi for -quasi-metric spaces. In this article, we continue this line of study on the Isbell-convex hu…
On Quasi-Modular Pseudometric Spaces and Asymmetric Uniformities
Philani Rodney Majozi
We study quasi-modular pseudometric spaces as asymmetric refinements of modular metric structures. To each such space we associate canonical forward and backward quasi-uniformities…
Local Antisymmetric Connectedness in Quasi-Uniform and Quasi-Modular Spaces
Philani Rodney Majozi
Directional notions in topology and analysis naturally lead to nonsymmetric structures such as quasi-metrics, quasi-uniformities, and modular spaces. In these settings, classical n…
On Metrizability, Completeness and Compactness in Modular Pseudometric Topologies
Philani Rodney Majozi
Building on the recent work of Mushaandja and Olela-Otafudu~\cite{MushaandjaOlela2025} on modular metric topologies, this paper investigates extended structural properties of modul…