{ "id": "1312.6964", "version": "v1", "published": "2013-12-25T12:55:20.000Z", "updated": "2013-12-25T12:55:20.000Z", "title": "Soft β-Open Sets And Their Applications", "authors": [ "Yunus Yumak", "Aynur Keskin Kaymakcı" ], "categories": [ "math.GN" ], "abstract": "First of all, we focused soft {\\beta}-open sets and soft {\\beta}-closed sets over the soft topological space and investigated some properties of them. Secondly, we defined the concepts soft {\\beta}-continuity, soft {\\beta}-irresolute and soft {\\beta}-homeomorphism on soft topological spaces. We also obtained some characterizations of these mappings. Finally, we observed that the collection S{\\beta}r-h(X,{\\tau},E) was a soft group.", "revisions": [ { "version": "v1", "updated": "2013-12-25T12:55:20.000Z" } ], "analyses": { "keywords": [ "soft topological space", "applications", "soft group", "concepts soft" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.6964Y" } } }