{ "id": "1811.00788", "version": "v1", "published": "2018-11-02T09:13:00.000Z", "updated": "2018-11-02T09:13:00.000Z", "title": "Selectors for sequences of subsets of hyperspaces", "authors": [ "Alexander V. Osipov" ], "comment": "13 pages", "categories": [ "math.GN" ], "abstract": "For a Hausdorff space $X$ we denote be $2^X$ the family of all closed subsets of $X$. In this paper we continue to research relationships between closure -type properties of hyperspaces over a space $X$ and covering properties of $X$. We investigate selectors for sequence of subsets of the space $2^{X}$ with the $Z^{+}$-topology and the upper Fell topology.", "revisions": [ { "version": "v1", "updated": "2018-11-02T09:13:00.000Z" } ], "analyses": { "keywords": [ "hyperspaces", "upper fell topology", "hausdorff space", "type properties", "research relationships" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }