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New Generalization of Manifolds and Orbifolds Using of Generalized Groups | ||
| Journal of Mahani Mathematical Research | ||
| دوره 11، شماره 2 - شماره پیاپی 22، مرداد 2022، صفحه 19-29 اصل مقاله (521.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2022.17544.1144 | ||
| نویسندگان | ||
| Hassan Maleki* 1؛ MohamadReza Molaie2 | ||
| 1Faculty of Mathematical Sciences and Statistics, Malayer University Malayer, Iran | ||
| 2Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| Our ultimate goal in this paper is to introduce a special type of topological spaces including manifolds and also, orbifolds. Because of using of generalized groups, we call them $GG$-spaces. We will study their properties, and then we will introduce a special $GG$-space that is not manifold and orbifold. Finally we obtain conditions that cause a $GG$-space to become manifold. | ||
| کلیدواژه‌ها | ||
| Generalized group؛ T-Space؛ Quotient space؛ Orbifold؛ $GG$-Space | ||
| مراجع | ||
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