{ "id": "math/9809069", "version": "v1", "published": "1998-09-12T17:36:08.000Z", "updated": "1998-09-12T17:36:08.000Z", "title": "Orthocompactness and semi-stratifiability in the density topology", "authors": [ "Julian Dontchev" ], "comment": "8 pages", "categories": [ "math.GN", "math.CA" ], "abstract": "The density topology $\\cal T$ is a topology on the real line, finer than the usual topology, having as its open sets the measurable subsets of ${\\mathbb R}$, which are of density 1 at each of their points. The aim of this paper is to determine which subsets of the density topology are semi-stratifiable, orthocompact and weakly hereditarily pseudocompact.", "revisions": [ { "version": "v1", "updated": "1998-09-12T17:36:08.000Z" } ], "analyses": { "subjects": [ "28A05", "54G20", "54-02", "03E15", "04A15", "54A10" ], "keywords": [ "density topology", "orthocompactness", "semi-stratifiability", "real line", "open sets" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......9069D" } } }