2015/10/27 by John P. Reynolds, Reynolds, John
Decision Sciences · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1510.08044
openalex publication_date 2015/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use convergence theory as the framework for studying H-closed spaces and H-sets in topological spaces. From this viewpoint, it becomes clear that the property of being H-closed and the property of being an H-set in a topological space are pretopological notions. Additionally, we define a version of H-closedness for pretopological spaces and investigate the properties of such a space.