{ "id": "2308.14544", "version": "v1", "published": "2023-08-28T12:57:22.000Z", "updated": "2023-08-28T12:57:22.000Z", "title": "Continuity up to a Covering and Connectedness", "authors": [ "Emin Durmishi" ], "categories": [ "math.GN" ], "abstract": "Recently, the notions of continuity up to a covering and chain connectedness are introduced. Here we combine both notions to provide the inheritance of connectedness for the topological spaces even when there is no continuous surjection between them.", "revisions": [ { "version": "v1", "updated": "2023-08-28T12:57:22.000Z" } ], "analyses": { "subjects": [ "54C08", "54D05" ], "keywords": [ "continuity", "chain connectedness", "inheritance" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }