{ "id": "2404.04203", "version": "v1", "published": "2024-04-05T16:26:40.000Z", "updated": "2024-04-05T16:26:40.000Z", "title": "On a generalization of compact and connected spaces", "authors": [ "Nebojsa Elez", "Ognjen Papaz" ], "categories": [ "math.GN" ], "abstract": "In this paper we will give two different natural generalizations of compact spaces and connected spaces simultaneously. We will show that these generalizations coincide for the subspaces of the real line and that they differ for subspaces of plane.", "revisions": [ { "version": "v1", "updated": "2024-04-05T16:26:40.000Z" } ], "analyses": { "keywords": [ "connected spaces", "real line", "natural generalizations", "compact spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }