2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77540Recently, Mršević and Reilly discussed some covering properties of a topological space and its associated $α$-topology in both topological and bitopological ways. The main aim of this paper is to investigate some common and controversial covering properties of $\cal T$ and ${\cal T}^α$.11 pagesGeneral Topology54A05; 54D20; 54D30; 54H05text