{ "id": "1402.3408", "version": "v1", "published": "2014-02-14T09:41:08.000Z", "updated": "2014-02-14T09:41:08.000Z", "title": "On the quotient space of a generalized action of a generalized group", "authors": [ "Hasan Maleki", "Mohammadreza Molaei" ], "categories": [ "math.DS" ], "abstract": "In this paper by using of generalized groups and their generalized actions, we define and study the notion of $T$-spaces. Moreover, we study properties of the quotient space of a $T$-space and we present the conditions that imply to the Hausdorff property for it. Moreover, we study the maps between two $T$-spaces and we consider the notion of $T$-transitivity.", "revisions": [ { "version": "v1", "updated": "2014-02-14T09:41:08.000Z" } ], "analyses": { "keywords": [ "quotient space", "generalized action", "generalized group", "study properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.3408M" } } }