4 papers
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…
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…
Flatness and Nonforking without the Continuum Hypothesis
Philani Rodney Majozi
We investigate the structure of FN bases (Frechet-Nikodym bases) without assuming the Continuum Hypothesis (CH), refining results of Siu-Ah Ng concerning definability via flatness…