{ "id": "2002.06459", "version": "v1", "published": "2020-02-15T22:10:51.000Z", "updated": "2020-02-15T22:10:51.000Z", "title": "Generalizing separability, precompactness and narrowness in topological groups", "authors": [ "Taras Banakh", "Igor Guran", "Alex Ravsky" ], "comment": "5 pages", "categories": [ "math.GN", "math.GR" ], "abstract": "We discuss various modifications of separability, precompactnmess and narrowness in topological groups and test those modifications in the permutation groups $S(X)$ and $S_{<\\omega}(X)$.", "revisions": [ { "version": "v1", "updated": "2020-02-15T22:10:51.000Z" } ], "analyses": { "subjects": [ "22A05", "54D65" ], "keywords": [ "topological groups", "generalizing separability", "narrowness" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }