# New Generalization of Manifolds and Orbifolds Using of Generalized Groups

Document Type : Research Paper

Authors

1 Faculty of Mathematical Sciences and Statistics, Malayer University Malayer, Iran

2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

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.

Keywords

#### References

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### History

• Receive Date: 06 May 2021
• Revise Date: 24 December 2021
• Accept Date: 28 January 2022
• First Publish Date: 04 February 2022