{ "id": "math/9810072", "version": "v1", "published": "1998-10-12T14:13:07.000Z", "updated": "1998-10-12T14:13:07.000Z", "title": "Some covering properties of the $α$-topology", "authors": [ "Francisco G. Arenas", "Jiling Cao", "Julian Dontchev", "Maria Luz Puertas" ], "comment": "11 pages", "categories": [ "math.GN" ], "abstract": "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 ${\\cal T}^{\\alpha}$.", "revisions": [ { "version": "v1", "updated": "1998-10-12T14:13:07.000Z" } ], "analyses": { "subjects": [ "54A05", "54D20", "54D30", "54H05" ], "keywords": [ "main aim", "controversial covering properties", "topological space" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math.....10072A" } } }