Some covering properties of the $\alpha$-topology
  Recently, Mr\v{s}evi\'{c} and Reilly discussed some covering properties of a topological space and its associated $\alpha$-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 ${\cal T}^{\alpha}$. 
Francisco G. Arenas, Jiling Cao, Julian Dontchev and Maria Luz Puertas